The compressor is a tiny thing, often called 'Mini Elephant' due to its shape, and is sold under various brand names, including, I believe, Testors. Mine has a silver-grey, plastic casing, but I've seen them in other colours, including translucent blue!
It doesn't have a water trap, filter, or even adjustable pressure, running at approximately 15 psi !!!
They were designed for use in such places as beauty parlours, for spraying ladies' finger nails, a market which has had quite an effect on reducing the cost of various compressors.
I can't find a photo, so I'll take one over the weekend and post it here. To be honest, it was all I could afford at the time (cost around £28 or approx $35 to $40 US) about six years ago, otherwise I would have bought a more substantial example. But, it's lasted this long, with absolutely no problems whatsoever, which just goes to show that 'expensive' doesn't always mean 'best'.
The pics below are one of the airbrushes I've been using, made in the UK, and again it's worked fine for over three years, and still works, although I bought another as the one shown really needs new seals, and I damaged the tip of the needle when I dropped it whilst cleaning.