This name is a synonym of Geum involucratum Juss. ex Pers..
The record derives from RJP
(data supplied on 2011-10-18)
which reports it as a synonym (record 12526) with original publication details: The Cyclopedia The Cyclopedia; 1802 Geum no.12 1810.
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 Geum parviflorum in version 1 of The Plant List.