The little "grabbing a bag of money" icon is a tile picker. If you click it, and then choose a tile, it will set the current tile to that tile. (If you are editing Ground Sets or Wall Sets, it will only work if there is an associated set. But it should always work in Ground 1/2/3 and Wall 1/2.)

Oh did not know that, works well, thank you!

There isn't. Most of the filenames are uninteresting, though. What would be the purpose of showing this? Thanks!

I was using the map editor in a cave and could not figure out what the top floor tiles on cliffs were, if there was a way to see the name I could search it in the search bar perhaps. Maybe there is already a way to identify them?

edit: to clarify both the tiles on the map originally and the tiles in the object selector