Thank you for your reply.
From the 1852 census, we know that Bridget’s husband is dead.
On William Wadsworth Jr. (1841-1926), death certificate his mother is listed as Bridget Hennessey and father as William Wadsworth. William Jr. married Celina Romain in 1870.
Bridget Hennessy (1845-1911) like you stated married Joseph Lafrenier in 1865. At one time, her name is listed as Bridget Hennessy Wadsworth.
You can see how confusing this is getting. I have a theory, no proof that Bridget reverted to her maiden name? Alternatively, lived with Martin Hennessy.