The hosts had looked in control in the early moments, but their opponents struck the woodwork twice before the break.
It was a more fluent display from the Blues in the second half, though, and Marquis’ goal secured a deserved victory.
Danny Cowley made one change from the side that struck late to secure a point at Accrington the previous week.
Ryan Tunnicliffe returned to the starting line-up, with Joe Morrell the man to make way and dropping to the bench.
Former Fratton loanees Eoin Doyle – who helped secure the 2016/17 League Two title – and Lloyd Isgrove were both named in the Wanderers side.
There were impeccably observed remembrance tributes before the game, as both clubs paid their respects to those who made the ultimate sacrifice.
Pompey made the brighter start, dominating both possession and territory in the contest’s opening stages.
Ronan Curtis showed some tricky footwork before eventually being dispossessed in the box by Ricardo Almeida Santos.
The Republic of Ireland international then had to stretch to meet a Marcus Harness delivery and could only nod the ball wide.
And following great work on the right by Reeco Hacket, Will Aimson did well to clear before the ball could reach Marquis in the centre.
Curtis had the hosts’ best chance of the half on 25 minutes, but Joel Dixon got down well to deal with his effort.
Bolton then came back into the contest as the action progressed and a thunderous strike from Dapo Afolayan rattled the crossbar.
And Mahlon Romeo did brilliantly to clear a Nathan Delfouneso delivery and deny Doyle a simple finish.
Pompey were forced to make a change late in the half after Tunnicliffe got injured in a challenge with Afolayan.
The midfielder quickly signalled that he was unable to continue and was replaced by Louis Thompson.
There was time for one more chance for the visitors before the interval, as Declan John clipped the outside of the post from an acute angle.
Bolton Wanderers 0
Pompey regrouped at the interval and came out strongly again once the action restarted, with Sean Raggett heading a Hackett free-kick over.
But the deadlock was broken on 51 minutes, courtesy of a neat back-flick by MARQUIS and an eagle-eyed assistant.
Curtis collected the ball from Hackett on the left and sent in a low cross that the striker met with an instinctive finish.
Wanderers keeper Joel Dixon desperately tried to stop the ball from going in, but the linesman spotted that it had crossed the line.
The keeper did prevent Marquis from adding a second moments later, making a smart stop with his feet.
Pompey’s number nine was certainly busy and could not guide a Romeo cross on target before seeing a Thompson delivery taken off his head by Santos.
Curtis then waltzed his way into a shooting position, but opted to take on one defender too many and was eventually dispossessed.
Cowley made his second switch on 78 minutes, with Morrell taking over from Shaun Williams in the engine room.
And it was still the hosts looking the more likely to score again, although Curtis’ effort lacked the power to properly trouble Dixon after brilliantly bringing a Gavin Bazunu clearance under control.
The contest was not over, though, and Doyle reminded the hosts of that by nodding a Harry Brockbank cross against the top of the bar.
But the Blues were able to see out the closing stages with relative ease to ensure they earned a much-needed win.
Pompey (4-2-3-1): Bazunu; Romeo, Raggett, Ogilvie, Brown (c); Tunnicliffe (Thompson 40), Williams (Morrell 78); Harness, Hackett, Curtis; Marquis (Hirst 90+4)
Goals: Marquis 51
Subs not used: Bass, Freeman, Azeez, Jacobs
Bolton (4-1-4-1): Dixon; Isgrove (Brockbank 72), Santos (c), Aimson (Johnston 72), John; Williams; Delfouneso (Sheehan 56), Lee, Afolayan, Kachunga; Doyle
Subs not used: Gilks, Baptiste, Gordon, Thomason
Referee: Craig Hicks
Attendance: 16,231 (1,087 away fans)
She gained fame for playing the role of Keely Teslow in the Disney Channel series Phil of the Future and has participated in film and other television roles including Rhiannon Abernathy in the film Easy A and roles on the CW series Hellcats and iZombie. Michalka and her sister, actress Amanda Joy “AJ” Michalka, are members of the musical duo Aly & AJ.
Movies in my collection
DRAWN LOST LOST LOST WON LOST DRAWN DRAWN LOST LOST
A late Marcus Harness goal rescued a point for Pompey after it looked like they would leave Accrington on the back of an undeserved defeat.
The Blues created a host of chances, but only had Ronan Curtis’ early finish to show for their efforts at the interval.
Harry Pell levelled for Stanley following the restart and after surviving plenty of dangerous moments, then took the lead through Matt Butcher.
It looked like being a harsh loss, but the noisy travelling faithful were rewarded for their backing when Harness struck late on.
Danny Cowley made two changes from the side that were beaten on home soil by Ipswich earlier in the week.
Reeco Hackett and Connor Ogilvie both returned to the starting line-up, with Ryan Tunnicliffe and Kieron Freeman dropping to the bench.
That saw a return to a back four, with Shaun Williams returning to his preferred position in the centre of midfield.
Cowley had asked for a positive reaction following successive heavy defeats and his troops responded by making a fast start.
An early corner was worked to Harness on the edge of the box and his shot had to be tipped over by Toby Savin.
And the keeper did even better to deal with a thunderous Williams attempt that followed good work from the lively Hackett.
But it was proving to be a mixed display from Savin, who quickly grabbed the loose ball from John Marquis after spilling a Lee Brown delivery.
He was then back to his best on 15 minutes, saving at the feet of Marquis after Hackett and Harness had combined brilliantly down the right.
And the Blues got the lead their pressure deserved on 15 minutes, when Brown laid the ball off for CURTIS.
The Republic of Ireland international took a few touches before hitting a low effort that bounced awkwardly in front of Savin and crept into the bottom corner.
Pompey kept attacking and Hackett was asking plenty of questions, while Williams and Joe Morrell were looking assured in the centre of the pitch.
But Stanley had a chance to level when Ethan Hamilton crossed from the right and Colby Bishop could only turn it wide.
Savin then fumbled another centre – this time from Hackett – but the home side were able to clear the danger.
And when Accrington enjoyed a spell of pressure and won a corner, it almost led to another Pompey goal.
Morrell stole possession and launched a quick counter, with Harness showing some tricky footwork before hitting a shot that rose narrowly over the bar.
There was even a cheeky free-kick attempt by Williams from near the halfway line, although the midfielder could not find the target.
Accrington Stanley 0
The visitors picked up where they left off following the restart and Stanley were relieved to see the ball land safe when Savin parried an angled Hackett drive.
But the home side were level on 50 minutes after Gavin Bazunu had dived to his left to keep out Sean McConville’s strike.
The Accrington midfielder took the resulting corner and the ball was nodded on by Ross Sykes for Pell to head home from close range.
It might have got worse for the Blues, as a Hamilton effort took a big deflection off Brown and had to be dealt with Bazunu.
And Sean Raggett then suddenly appeared from nowhere to make a superb block to repel Bishop’s shot.
Pompey then went close to scoring themselves, as Savin raced from his area to deal with Bazunu’s long ball, only to swipe at thin air.
Curtis dispossessed the keeper and saw off Yeboah Amankwah’s challenge before hitting a shot from outside the box.
It appeared to be heading for the net, but Butcher got back and managed to clear the ball against the post and out to safety.
Pompey were certainly doing their best to retake the lead and Marquis rolled a shot past the post before Savin denied Harness.
Harness went close again on 69 minutes, but Sykes flung himself in the path of the ball to divert it behind.
And yet it was Stanley who went ahead for first time from a long Savin punt, with McConville playing in Butcher for a neat lobbed finish over Bazunu.
Louis Thompson immediately replaced Williams and there was a quick chance for the Blues to draw level.
Morrell’s pass found Marquis in the box, but the striker was unable to slide his shot past Savin, who saved with his foot.
A double substitution followed as Cowley made his final throw of the dice, with Morrell and Hackett making way for Tunnicliffe and Michael Jacobs.
The latter was soon involved in Pompey’s leveller on 86 minutes after combining with Marquis on the left.
Pompey’s hard-working striker sent the ball across the face of goal, where HARNESS was in space to fire home from close range.
There was still time for more late drama, but neither side were able to score again and had to settle for a point each.
Accrington (3-5-1-1): Savin; Amankwah, Nottingham, Sherring (Sykes 19); Butcher, Hamilton, Conneely (c), Morgan, McConville; Pell; Bishop
Goals: Pell 50, Butcher 77
Booked: Sykes, Hamilton
Subs not used: Trafford, O’Sullivan, Leigh, Nolan, Mansell, Malcolm
Pompey (4-2-3-1): Bazunu; Freeman, Raggett, Ogilvie, Brown (c); Morrell (Tunnicliffe 84), Williams (Thompson 78); Hackett (Jacobs 84), Harness, Curtis; Marquis
Goals: Curtis 18, Harness 86
Booked: Raggett, Curtis
Subs not used: Bass, Freeman, Azeez, Hirst
Referee: Geoff Eltringham
Attendance: 2,889 (892 Pompey fans)