Mary's name is recorded as Winifred Nora Nailor in
her daughter Honora (Shannon) McGrath's Clinton Co., Iowa
death record. This is probably just a mistake from Honora's
children due to the
number of years removed from Ireland. The name Mary Neylon
is very definite from the various Irish church records, and is also
stated in Patrick Lane's 1882 biography.
The Neylon family, including Mary, was all from Lahinch, Co. Clare,
according to James Shannon (1994 owner of Killeinagh).