Trailing to a penalty at the break, Saffron Jordan rescued a point for Rovers with a superb strike, before Dan Lea was dismissed late on.
Rovers registered the first real effort of the game on nine minutes when Ainsley Strickland’s shot from the edge of the area sailed just over.
The hosts had a great chance to open the scoring at the midway point in the half, but the effort was blazed over the bar from 10 yards out.
On 36 minutes, Rovers keeper Danielle Hill made a superb double save to keep Stoke at bay, however she was unable to prevent the Potters from taking the lead from the penalty spot moments later, after Cara Bickett had committed a foul in the box.
Rovers ended the half strongly, with Jordan heading narrowly wide from a Sophie Jones cross.
Stoke came close to doubling their lead shortly after the restart, but the woodwork came to Rovers’ rescue and, just past the hour mark, Gemma Donnelly’s side drew level.
Lynda Shepherd headed a cross into Jordan, who flicked the ball over the last defender, before volleying home.
Rovers were reliant on a couple of goal-line clearances to preserve parity, whilst Lea was sent off late on after picking up her second yellow card of the game.
Donnelly said: “We didn’t deserve anything from the game, but I think it is the sign of a good team when you play so poorly and still come away with a point.
“What is encouraging, is we still managed to secure a point against a very strong Stoke team and I know that we have another 10 gears to go.
“Congratulations to 16-year-old Leah Foster, who came on for her debut after making the step up from the Centre of Excellence and to Saffron Jordan for scoring such a great goal.”
ROVERS: Hill, Taylor (Holbrook 46), Lea, Bickett, Fleming, Shepherd, Fenton (Foster 71), Johnson (Flynn 46), Jones, Strickland, Jordan.