If it's a model of an actual British merchant vessel, and if you live in the vicinity of a good research library, it would be worth the trouble to look up the name "Charlotte" in a few volumes of Lloyd's Register of Shipping. If I remember correctly, the first volume of Lloyd's appeared in 1776, and a new volume has been added every year since. The work covers (at least in theory) all the vessels that were insured by Lloyd's of London - which, in practical terms, seems to have meant the majority of vessels of any size. There's no absolute guarantee that a particular ship will show up in Lloyd's, but the vast majority of "Lloyd's searches" I've done, or heard about, have been successful.
The listing will include, at the minimum, the basic dimensions of the ship and the date of her launching. As the years went by the information included got more and more detailed; by the late nineteenth century, "Lloyd's listings" included such things as the types of wood used in the hull, whether the ship was copper-sheathed or not, and the next voyage she was going to make at the time she was surveyed. Once you've found the ship in one volume, you should be able to trace her back in earlier volumes to the year she was put into service - and forward to the year she met her ultimate fate (including any name changes she underwent in the process).
All this assumes that the model was intended to represent a real ship - as it may or may not have been. (Many a sailor built named a model after his daughter or granddaughter.) And there is, of course, the distinct possibility (indeed, likelihood) that more than one brig named "Charlotte" sailed out of Ramsgate. But if you have access to a set of Lloyd's Registers, you'll find them fascinating.
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