Nice bike. I have an all original Hawthorne that I believe is a 1957 that is very similar (same tank design and same carrier) but mine has a springer fork.
I have a advertisement on the Hawthorne from the Collectable Elgin ,J.C. Higgins Hawthorne book by James Hurd & T.A. Gordon page 245 Does not say Flo-Cycle on bike only in the book. I was surprised also when I seen it