This name is a synonym of Willemetia stipitata (Jacq.) Dalla Torre.
The record derives from TICA
(data supplied on 2012-02-11)
which reports it as a synonym (record 52482696-4569-4468-BD89-6E96A0FBF6FF).
This name record (from TICA) 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 Chondrilla apargioides in version 1 of The Plant List.