There was to be a third series, "Miracle Dream Minky Momo", about a Minky Momo who hailed from a land-based magic kingdom, but it only got to exist as a manga comic and the plans for the anime adaptation are still in limbo.
Momo was named after the child Momotaro of Japanese folklore, who came to Earth and was raised by a human couple and had as companions a dog, bird and monkey, just as Momo does in this show.