Sorry, I'm not much good at coming up with names, but as a fan of older cars myself, let me say congratulations on your purchase!
The Morris Oxford shared the same basic body style and mechanics as the Austin Cambridge; they just differed a little in trim and internal layout (like some Dodge/Chrysler models in the U.S., for example).
As well as having the benefit of driving an old car which has some charm and personality, you also have the advantage of it being exempt from paying road tax. That £170 per year is better in your pocket than the Chancellor's, right?