Hi
I think we must have a connection, but I'm not sure how direct it is! I do have a Matthew Sproul in my tree, but he was born in 1771 and was William's older brother. The parents were James Sproul c1730 and Ann Spier 1739.
I am not actively researching at the moment and in fact took all the Sproul line from my 2nd cousin, David Andrew, as it had been rigorously researched by David and by his father before him.
I hope theses of some interest.
Best wishes,
Marbe