This Kay-branded travel guitar, the K45 is currently for sale on eBay, and looks to be a pretty clean example. In the USA this guitar was known as the Austin Hatchet. Built in the early 80s, this guitar features a laminated through-neck construction, and has nut, bridge and fingerboard dot inlays all made of brass. The humbucking pickups are "DiMarzio designed" and the controls include a coil tap. The strap is integral to the design and doubles as a carrying strap when the guitar is cased up.
I own one of these guitars, although mine appears to have been very well used (and abused) over the years (not by me, I hasten to add - it was an eBay purchase last year). It also lacks the case. The construction is incredibly solid; the neck is like a baseball bat with a deep V shape in section. However, it needs some work doing to it. The electrics aren't great and it needs a good set-up. One of these days I'm going to get around to sorting it out properly.