According to a
family tree at Familysearch.org,
Walter Smedley Taylor of Philadelphia was the son of Hannah Mary Smedly. I found a photo circa 1890 in the
archives of The Library Company of Philadelphia of Mount Equity in Pennsdale, Pa, which was rented by the photographer (John H. Webster)'s aunt, one Hannah Mary S. Taylor. In the photo is her only son, and John Webster's cousin, Walter S. Taylor, who is listed in the library's archives as being born in 1868, the same birth year as the 1890 American Association umpire. Looks like a good match.