It was the Potters' ninth successive Staffordshire FA County Cup and twelfth in all, whilst for their opponents it was a first such final.
Jamilla Palmer headed the opening goal on 23 minutes but Phoebe Carter kept Stoke to a 1-0 interval lead when pushing Hollie Gibson's effort onto the bar.
Moments after Sporting had to make a change through injury, Millie Elson slotted City 2-0 up in the 48th minute following up Kate Asher's shot against the post, then another knock forced the underdogs to again make a substitution.
Two goals in a three-minute spell midway through the half sealed the win, as both Kelsey Richardson and Harriet Wellings found the net, the latter via a Gibson cross.
With minutes to go, Cassie Hyde got her first goal of the season to complete the scoring at 5-0.