I checked page 405 of the out-of-print book titled, Adoption Agencies, Orphanages and Maternity Homes--An Historical Directory, and it lists Saint Vincent's Children's Home in Wheeling. In 1923 the name was St. Vincent's Home for Girls, in Elm Grove (a branch post office of Wheeling)--both places are in Ohio County, WV.
So if your mother was Catholic, consider St. Vincent's as a possible institution in which she resided. Another possibility is St. Alphonsus' Orphan Asylum, 2136 Market St., Wheeling.
If she was in the orphanage during the federal census of 1920, you could look up her entry--the census is indexed by surname under the Soundex system. Better yet, seek free help on a message board devoted to the genealogy of Ohio County :http://boards.ancestry.com/mbexec?htx=board&r=an&p=l...
It's better to have a specialist with experience in researching censuses. There is also the matter of Ancestry.com charging a subscription fee for online access to censuses--something for which the specialist might have already paid.
The federal censuses of 1900, 1910, 1920, and 1930 (and earlier) have been released from confidentiality. It appears that West Virginia did not conduct any censuses of its own in the interdecennial years (such as 1925).
You might be able to find libraries and historical societies at Google.com and they can be asked if they have records from the orphanage of interest and if they have census records.