We used to sing an old one about Mr. Moon, Moon, bright and silvery moon, won't you please shine down on, please shine down on, please shine down on ???, for me and my gal. Maybe a slightly different version than the second one posted. I always had the impression it was from an old minstrel or slave song.

If you click on the Links at the menu bar up top, then scroll down to the Lester Levy Collection, go to their search function and type in Mister Moon, several different sets of sheet music will come up, including Mr. Moon by Geo. M. Cohan, from 1901. That song is Box #076 Item # 101. I didn't look at all of the aongs that came up, but maybe the one you are looking for is there.