I raised an Embden Goose with three Buff/White Runners. The goose is a hen and the Runners are two drakes and a hen. The drakes mate with the Runner hen, they also "mate" (can't do anything really) with the goose. Everyone is very happy. The Runners, having grown up with a goose and learned goosey behaviors are too hard on other ducks to put them with them but my other geese have accepted them into their flock, wierd mating and all. I am conviced that geese are far more intelligent and enlightened than sweet little ducks LOL. Your goose may not even need another goose, though I'm sure she'd prefer one. Ganders are easy to find, people don't generally want many ganders and are happy to re-home them.