Dear Ms. Edwards,
Thank you for posting your request on History Hub!
We suggest that you contact the Rhode Island State Archives, the Massachusetts Archives, the New York State Archives and the Michigan History Center to request a search for records such as tax lists, deeds to property, church records, and court papers that may provide more information about Benajah and Lydia Alger. We also suggest that you review the FamilySearch Research wikis for Rhode Island, United States Genealogy, Worcester County, Massachusetts Genealogy , Ontario County, New York Genealogy, and Michigan, United States Genealogy.
We hope this is helpful. Best of luck with your research!