I beleive this is a generic frigate of the time. There was never an HMS President at this time in the RN. The Victory was first-rate ship of the line, where as frigates were 2nd to 6th rate ship of the line, depending on how many guns it had. Here is a link to how ships were rated
I had almost forgotten about this one but I have started on the planking and its tricky bearing in mind that this ship is smaller than airfix's HMS victory.