No, by Moon Men I do not mean lunar beings observed by astronauts who have landed on the moon or by any mechanical device sent to survey it. In fact, Moon Men is a term used for Bigfoots in Warren and Dekalb Counties in Tennessee.
Anaxagoras, an ancient Greek, assures us there were houses on the Moon. I don't know how he claimed to have discovered this. Another personage who felt there were Moon Men was Leonardo Da Vinci. But I am sure you are asking, What about von Gruithuizen (1774-1852)? What, indeed? He claimed to have observed a lunar city.
Incidentally the village of Moone in Ireland has no astronomical connections.
I don't know of any early scientists who claimed they could discern faces on Mars.