This name is a synonym of Crataegus mollis (Torr. & A.Gray) Scheele.
The record derives from RJP
(data supplied on 2011-10-18)
which reports it as a synonym and as a spelling variant (record 40492) with original publication details: ; 1930 64 1930.
This name record (from RJP) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Crataegus tilliaefolia in version 1 of The Plant List.