Kitty has already told us where the song is to be found, though I'm not familiar with John Prentice. Is this is a piece of his own making? I don't have time to go through the whole of Palmer's Rambling Soldier looking for a fragment, but "inspired by" suggests that. Certainly it is none of the above; though they do mostly include the term "king's shilling", as do a good many other, equally unrelated songs, none of them have anything at all like the lines quoted in the question.