Paul-
The infinite assortment of plugs seems intended solely to confound and confuse us, doesn't it?<G>
It sounds like you have what is properly called a "coaxial power connector" and I'm guessing 6mm is the overall length of the plug? The 1.65mm center pin also defines the width of the plug, this sounds like a fairly common 12v 2A type power range/size. Radio Shack will probably have one for $5.95, the internet electronics shops will probably sell you two for a buck less--before shipping charges.
You could probably get a *small* 12V "exit light" aka UPS or alarm battery to run that for a long time, and just recharge that off the ships' power too.
All Electronics Corp - Parts, Supplies and Components one of the many reasonable surplus places on the web. I think their shipping is a flat $7? for your first $100 worth of order. Larger shops like
Digi-Key Corporation - USA Home Page are way larger, new parts, but something like a $5 handling fee if your order is under $25, plus shipping by weight.