The model number
alone is not too informative with that kind of radio. The low-ball models come from first one supplier, then another with few or no hints in the model number of WHICH radio you really have. If the data is free, who cares if it's wrong? Paying for the wrong data is a bummer.
What you really need is the printed-circuit board number. Uniden is pretty consistent with the small AM mobiles, about leaving an empty area on the main pc board to accomodate the internal speaker's magnet. This is usually where you will find the circuit-board's ID number, like this PC510X (I think).
A Google search on that number could pay off, might not.
Defpom has a long list of PC-board numbers listed.
If neither Defpom nor Google gets you any good hits, post it here, and I'll poke about here to see if there's a match.
That circuit board could very well show up in more than one brand/model, and improve your odds of a useful hit on the data you need.
Whew! And I didn't once use the phrase "Bic Lighter". Cool.
73