I always go with Zach. The problem with using a regular name though is that it might be the same as a character and you can't really tell at the very beginning of the game.
There was a combat minigame (like Four Elements Trainer) and a woodcutting/logging minigame. These would give you gold and lumber resources. When I said it took place on an island I mean that the overworld map was an island with different areas you could go to like the forest, village, camp...
The gameplay was sorta similar to Four Elements Trainer but predated that. It was like 10-15 years ago. I think you got stranded on the island and there were some fantasy races like elves there. It was a pretty generic flash game but had more interesting gameplay than most of the animation loop...
I believe the game was an Adult game on Newgrounds (or somewhere similar). It had 2D hand drawn art that wasn't particularly good. It took place on an island and had minigames to play. I'm thinking it had a long one word title.