Portadown thumped five goals past Lisburn Distillery less than a fortnight ago, but the Whites responded to keep their great escape bid on track.
For Ronnie McFall's men, however, they finish in the bottom six for the first time in 12 seasons.
"We came here to win; we missed a lot of chances and hit the bar a couple of times," said a frustrated McFall.
"I'm disappointed with the performance and the result. That's us in the bottom six now, it's not where we wanted to be but we just have to pick ourselves up and get on with it and focus on next Saturday's (Irish Cup semi-final against Glentoran) game.
"We have had problems all season, we have played half-decent football, created chances, but we haven't taken them."
Scott Davidson put the Whites ahead on 29 minutes before Ports substitute Gary Twigg equalised with 28 minutes remaining.
Ports goalkeeper David Miskelly made vital saves late on but overall a draw was fair.
"It was a fantastic result, a fantastic performance; the effort and commitment from the players was second to none, the work-rate was incredible," said Distillery boss Tim McCann.
"If we get that same level of commitment and spirit then I see us staying up."
Whites' captain Ryan McCann, looking ahead to a relegation tussle against Donegal Celtic tomorrow, said: "We have to go and win the game it is as simple as that."