Loan man Patrick Kelly scored his first Rovers goal with seven minutes left to get their place in the hat.
Our photographer Howard Roe took these pictures of some of those who made the long trip north.
Get more reaction to the win on our website.

29. Barrow 0 Rovers 1
Doncaster Rovers are through to the FA Cup second round after victory at Barrow. Photo: Howard Roe/AHPIX LTD

30. Barrow 0 Rovers 1
Doncaster Rovers are through to the FA Cup second round after victory at Barrow. Photo: Howard Roe/AHPIX LTD

31. Barrow 0 Rovers 1
Doncaster Rovers are through to the FA Cup second round after victory at Barrow. Photo: Howard Roe/AHPIX LTD