Sounds like you´ve been bitten! Glad you´re thinking about keeping her, and even moreso that you´re considering getting her a friend. 2 females should do fine together. They may go through mating activity in the absense of a male, but no fertile eggs of course. The geese would have plenty of space there. From the pic I would guess she´s a she, just because of her carriage. More pics possible for a better guess? She has a lot of white on her face, which would account for the blue eyes. Quite possibly a cross, I have some saddle-back females here with blue eyes, but she´s so pretty.
At the risk of boring you: You´ve probably already researched it, but all these similar breeds of goose come from the greylag. From what I´ve researched, the breeds that have the white colourations (and blue eyes) are descended from the European/eastern side of the northern hemisphere. And those greylags in turn have the genes for orangey-pink bills as in the pilgrim, called anser anser, or pink bills as in the cotton patch, those are called anser rubrirostris (I don´t claim to understand genetics in geese, it´s just what I´ve read) So, when we have a "mixed-breed" it´s really still within the same species anyway. Well, that´s how breeds are developed. Your goose likely has european origins and look how far she´s come!
I find it fascinating. Sometimes I see unlikey breeds here in Brazil, and I think, what´s the story behind you, then?
