Elliot Lee scored his fifth goal of the season from the penalty spot, but Barrow hit back at the SO Legal Stadium to claim a share of the spoils.
Lee coolly converted to temporarily go level with Sky Bet League Two top scorer Will Evans for the season, but Emile Acquah levelled after the break in windy Barrow.
The result stretched Wrexham’s unbeaten run to five games – a run which now includes four draws.
After the high-scoring home draw with Swindon Town last time out, Mark Howard replaced the now-retired Ben Foster in goal and Luke Young, Tom O’Connor and Anthony Forde also returned to the starting XI.
Wrexham settled much quicker than last weekend too, and Barrow keeper Paul Farman saved well from Will Boyle’s stooping header – from Young’s corner – just five minutes in.
Four minutes later, a loose ball would not stop kindly for Jacob Mendy in the area, but Jake Bickerstaff pounced and his left-footed shot was deflected wide.
The early pressure soon paid off too, as Ollie Palmer muscled clear of Tyrrell Warren to run into the area only for the defender to clumsily bring him down in the 11th minute.
Lee stepped up and calmly side-footed in, as Farman committed himself early to the dive.
Five minutes later, Boyle brilliantly threaded the ball through for Jake Bickerstaff but Farman spread himself well to deny the young Wrexham striker at the near post.
Palmer was next to get in behind on the left of centre on 26 minutes, bringing a high ball down, but his touch took him wide and he could only shoot well off target.
Tozer fed Palmer on 33 minutes, after having strode forward for a throw-in, and the striker hooked the ball goalwards only for Farman to parry clear.
Still Wrexham were well on top, and on 38 minutes Tom O’Connor lofted a ball in from a free-kick, which Boyle headed back across goal, but neither Bickerstaff nor Palmer could get a crucial touch to it.
Chances were at a premium for Barrow, but Warren found time and space on the right in the 44th minute only to drag his shot well wide.
There was still time for Warren to cap a miserable first half with a booking, after clumsily bringing Jacob Mendy down on the edge of the box too.
Rory Feely replaced Warren at the break, and the hosts started the second half much better than the first.
Their reward was an excellent equaliser as Acquah found time and space on the edge of the box and curled into the top corner in the 52nd minute.
There were less chances after the break, but Jamie Proctor’s header was well saved by Mark Howard, low to his right, on 73 minutes.
At the other end, substitute Sam Dalby – on for Bickerstaff – flicked Mendy’s low cross on in the 78th minute but could not find Palmer.
Dalby got in behind on the left in the 84th minute, but with Palmer racing up alongside him, the pass was too far in front of his team-mate.
Two minutes later, Lee unleashed a vicious long-range strike after cutting inside onto his right foot, but he shot wildly high and wide.
Six minutes' stoppage time failed to split the two teams at the SO Legal Stadium, and both were forced to settle for a point.
Wrexham: Howard, O'Connell, Tozer, Boyle, Forde (Barnett 84), Young, Lee, O'Connor, Mendy, Palmer, Bickerstaff (Dalby 70).
Subs not used: McNicholas, Cleworth, McAlinden, Jones, Waters