Nope. The C-case wasn't released until December 1964. I don't think the name Genève was used until 1954, maybe 1955.
I saw what I thought was unusual. It was an 18k gold geneve in italics, with croshair in a c-shape style case. But i'm guessing it was a franken?! He was asking £1450 for it as well! I was nearly on the verge of trading a couple of Seamasters. Glad I didn't.