From reading this forum, I have learned that you may very well already have one well hidden in the top of the "glove compartment".
On another note, if I were to add a cigar socket to an open car like the Morgan, I'd buy one of those hybrid cigar plugs for motorcycles (or one of those square BMW sockets) or some other waterproof socket. Ordinary cigar sockets aren't waterproof and are really poor quality.
But, anyway, you probably already have one well hidden in your car.