This name is a synonym of Linum floridanum (Planch.) Trel..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50120696) with original publication details: Nat. Pflanzenfam. (ed. 2) 19A: 116 1931.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:140879-2.
This name was in version 1 of The Plant List, record tro-50120696.