There are a few online. We have a lot of records spread around online. I know these won't help but http://mcnygenealogy.com/vr/poorhouse.htm
Poorhouse birth records 1847-1850. http://mcnygenealogy.com/vr/index.htm
Assorted Vital Records for Monroe County. https://search.ancestry.com/search/db.aspx?dbid=1083
New York, Census of Inmates in Almshouses and Poorhouses, 1830-1920http://www.cityofrochester.gov/marriagerecords/
City of Rochester Historic Marriage Records Search Enginehttp://www.rcip.info/
Rochester Churches Indexing Projecthttps://inmatesofwillard.files.wordpress.com/2011/08/history...
History of the Monroe County Almshouse.http://fultonhistory.com/Fulton.html
Fulton History Postcards - a search engine of NYS newspapers. Can be difficult to use but results are worth it. I haven't been able to connect to this site in a few days so it may be down, be being revamped, or otherwise, so keep checking.