Florence Crittenton (note the spelling of her surname) died in 1882 and her father decided to create a chain of maternity homes in her memory.
I checked the 1982 book, "Adoption Agencies, Orphanages and Maternity Homes : An Historical Directory." Page 404 shows the home was, in former times, located in Elm Grove, WV, a branch post office of Wheeling. The 1979 name and address = Florence Crittenton Home of Wheeling, West Virginia, 2606 National Road, Wheeling, WV.
Maternity homes do not open their records to adoptees, and almost all of them did not do their own adoptions. The parent organization eventually became the Florence Crittenton Division of the Child Welfare League of America. The CWLA moved from New York City to Washington, D.C. The Division may be inactive. I wrote to the CWLA in the early 1990s on the letterhead of the Adoption Bibliography Center and they did not give me a reply.