It is possible that they were cousins since they both came from PA and lived in the same vicinity, but I have nothing on your Jacob.Here is what I have on my Jacob.
Crawford County, Ohio Deed Book 18, page 585
Jacob and Margaret Adams to Sebastian Hipp for $155, property in Bucyrus.Dated 28 Apr 1857.
1860 Federal Census for Crawford County, Ohio Bucyrus Township
820 Bankard,Margaret 68 PA Melinda 21 OH
821 Adams, Jacob 23 drayman Margaret 24 Mary 16 W.I.C. 3 Frank 1 Anna 8/12
1870 Federal Census for Crawford County, Ohio Bucyrus, page 340
Adams, Jacob 39 Teamster Margaret 44 Frank 14 Anna 12 Naomi 8 Bankard,Margaret 75
1880 Federal Census for Crawford County, Ohio Buycrus Township, City of Buycrus
733 Adams, Jacob 44 PA Candy Maker Eng PA Margaret 55 OH Keeping House PA PA Frank 21 OH laborer PA OH Naoma 18 OH PA OH Lester 9 OH PA OH
Obituary of Jacob Adams - Tuesday - July 14, 1896
After a prostaration of nearly two months Jacob Adams died at his home on South spring Street at 3 o'clock this afternoon, aged about 60 years.He leaves a wife and family of grown children. ...
Mr. Adams had an honorable record as a soldier in Company C, 101 Ohio Volunteer Infantry, serving from August 1862 to June 1865, two years an ten months and his Bucyrus comrades testify to his faithfulness to duty.
Funeral Arrangements for Jacob Adams - Thursday - July 16, 1896
The funeral service over the remains of Jacob Adams are in progress as the Telegraph goes to press..... with a large concourse of people present, there being many old soldiers and a number of the regimental comrades present.The remains repose in a fine folding couch casket, surrounded by a great wealth of flowers of various designs. ...
Crawford County Cemetery Book
Jacob Adams born August 30, 1835; died July 14, 1896 (parents unknown) married Margaret M. Bankert born September 30, 1834; died November 25, 1899 (parents Jacob Banker - Mary Noel)