...I'm guessing it's a 1959 Chevrolet Half Car - And I found two references:

One was featured in the Loris (SC) Sentinel, page 7 on 10/14/59.

http://www.footnote.com/search.php?f_ancestor_id=39238767&df_ancestor_id=Within%3ANews+-+The+Loris+Sentinel+(SC)&query=1959+Chevrolet+half+car&submit=Search

And another in the Malakoff (TX ) News, page 4 on 05/24/59.

http://www.footnote.com/document/42068503/

Ralph's Scan