We have been in contact before. I came across your old request for the children of Dennis and Mary Donnelly Falvey. I think I found their son Michael. The one I found was age 26 on the 1880 Prv. Fed. Census. He was 26, a woolen weaver, married, age 26, born in RI.
His wife was Johanna Duffy Falvey. They had one child Mary Ann, age 2 months. Johanna was 22.
Not sure if he is the one you are looking for, but his age is about right.