Damien Johnson's side took a lead on 23 minutes when David Carson squared for Anton Forrester to fire home from close-range.
Newcastle drew level just before the break when substitute Jamie Sterry nodded home a Liam Smith cross.
Forrester was denied by a goal-line clearance from Gael Bigirimana after good work from Carson and Sacha Petshi.
The Magpies came strong in the closing stages, the visitors indebted to four fine saves from Simon Eastwood to ensure a deserved share of the points.
New Newcastle forward Ivan Toney almost scored after four minutes.
The former Northampton man collected a through ball from Gael Bigirimana before shooting low, but the Rovers keeper saved well down to his right.
NEWCASTLE: Darlow (c), Mbabu, Cameron, Bigirimana, Gillesphey, Satka, Gilliead, Smith, Toney, Roberts, Laidler (sub Sterry 21 mins). Subs not used: Harker, Williams, Cobain, Hunter.