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 18700235) with original publication details: London J. Bot. 7: 480 1848.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:140945-2.
This name was in version 1 of The Plant List, record tro-18700235.