Thank you for replying to my query.
After Martin Hennessey’s death Bridget Hennessy had two children with William Wadsworth, William Jr. 1841 and Bridget 1845. I have not been able to find a marriage license for William Sr. and Bridget Sr.
There is no further information on William Wadsworth Sr. after Bridget Jr. birth in 1845.
In the 1852, 1861 and 1871 censuses Bridget Hennessy Sr. is listed as a widow.