Umm, not exactly. They failed to detect the motion of the earth relative to the ether - and so the concept of an ether was discarded. Though, of course, there were those who said that the earth and the ether moved in - let's say - divine harmony.
Yeah, you shouldn't cherry-pick your evidence like that. Michelson-Gale detected both the ether and motion and you shouldn't pretend that Michelson-Morley occurred in isolation.
Unless you are proposing a little pocket of ether that stays still around the earth so that Michelson-Gale can detect motion but follows the earth around the sun so the Michelson-Morley cannot?
Is that your solution?