New loan signing Michael Timlin started for Swindon replacing the injured Chris Allen.
Swindon had plenty of the ball, and a number of corners, just just couldn't score in the first half.
In the second half it was Carlisle who took the lead against the run of play on 54 minutes with a close range header from Bridge-Wilkinson.
Swindon finally equalised on 61 minutes after a goal mouth scramble resulted in Simon Cox making to get the ball over the crowded goal line.
Then on 78 minutes Swindon took the lead with a long pass finding Blair Sturrock who scored from 12 yards out making it 2-1 to Swindon.
On 86 minutes following a Carlisle corner they equalised with a header from Peter Murphy.
Overall a good game where going on the number of chances Swindon should easily have won, but only came away with a draw. Swindon's next game is away to Brighton next Saturday.