Very confusing subject Not only 2 but not less than 10 ships in the Royal Navy has been named HMS Rattlesnake according to Wikipedia:If this is the three masted US privateer, former Cormorant you can also have a look at the books of the Swan class ships which are of similar size as this Rattlesnake.
If it is the two masted brig Ratlesnake which is similar size as Alert you could use the data from the Alert book.
Allegedly at least 2 of these (1783 & 1814) were both previously American and both captured by the Royal Navy.
According to Wikipedia both of them were brigs. AFAIK a brig has 2 mast so I guess at least for the HMS 1783/USS 1781 this must be wrong.
I think the one that Hahn build was the HMS 1783 / USS 1781 one.
Was the HMS 1783 / USS 1781 ever sold back to America? I could not find any evidence of that, but several sites seem to believe she ended up in France
It also seems that a lot of modelers and other people are mixing these 2 ships up. Just one example:
Sorry for the hijacking Maarten, just to show that the year along with the name is far from unimportant