F3 screen improvements

hello! I would like to suggest a small but very useful idea. Can you add the Minecraft world's name to the F3 screen to make it easier to find the world from a screenshot taken. For example if I took a picture of a mineshaft I found in one of my worlds and used F3 for coordinates and used F2 to take a picture, later I wouldn't know which world was that from, so that is why I think small addition would be useful.

and also in the options menu would be cool. Thanks!!