You didn't give much to work on, but I may have found some things to help with your search for Enos and Lillian Becker.
Enos appears in the Bay City Directories of 1873-74,(works as a clerk, and boards at Anscomb House) and 1881-82(works at Sherman & Becker, boards at Portland House.)
In 1884-85 he was living at 1206 Sherman. Mrs. Lillian Becker, music teacher worked out of the house and lived at 1206 Sherman.
In 1890-91 Enos Becker was a bottler of Mineral Waters, still residing at 1206 N. Sherman. Mrs. Lillian Becker was still a music teacher, residing at 1206 N. Sherman.
I could not find Enos in the 1880 census index in Bay City.
But, in 1900 I found Lillian Becker, age 39, widow, born in Wisconsin, both parents born in Pennsylvania, living in Detroit, 6th Ward, Michigan.She was a music teacher. She claimed to have been married 21 years, and to have had 11 children, with 5 still living. But there are only three children enumerated with her: Harry, age 9, born in July 1891.(Father born Michigan, mother born Wisconsin.) Percy, age 8, born in Feb. 1892. Harvey, age 6, born in April 1894.
These four were still living in 6th Ward, Detroit, Michigan in 1910.This time she claimed to have had 10 kids, with 4 still living.