Barrow's Nick Rogan struck in the second minute of injury-time to boost his side's hopes of avoiding relegation and dent Wrexham's faint play-off bid.
Substitute Rogan turned in Mark Boyd's from 12 yards out to earn a point.
Teenage apprentice Obi Anoruo had put Wrexham ahead with his first senior goal in the 76th minute after Andy Fleming's shot ricocheted to him.
Wes Baynes and Andrew Crofts had come close for the hosts earlier while the visitors' Carlos Logan fired just wide.
Wrexham manager Dean Saunders said:
"I have to be careful what I say because we've committed defensive suicide again.
"We were nervous as there are players not over-flowing with confidence but to concede another goal like that, I'm running out of things to say. It makes the staff look like mugs.
"I have a list as long as my arm of goals of bad goals scored against us lately. I find it unbelievable what I'm looking at with some of the mistakes people are making and it is going on and on.
"We spend more time working on cutting out defensive errors in training than anything else, we can't keep making mistakes like that otherwise you'll end up playing in the Conference for the rest of your career.
"We gave daft free-kicks away and we were naive. There are some players I can help but there are some players not even José Mourinho can help."
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