I did find proof that William was an heir of Stephen Adams. Searching microfilm records of the Court of Common Pleas.
1846 Nov 6 Application being made to the Court of Ordinary by Wm Adams one of the Heirs of Stephen Adams Dec’d for the money in the hands of the Ordinary from the sale of the Real Estate of James Bruce Dec’d & due the said Stephen Adams & upon the oath of Allen KeithCornelius Keith & Peter Corbin that the said Stephen Adams nor none of his Heirs except William & Jesse Adams have been heard of within the last 7 years
It is therefore ordered that the distributive share of Stephen Adams due from the sale of the Real Estate of James Bruce as aforesaid be paid to William Adams & Jesse Adams being the only Heirs known in law.
-- I have a copy of the original page if that would be helpful to you.