you have a misconception, women do not "produce one egg a month". A women is born with all the eggs she'll ever have in her ovaries. Normally one of them is released a month after puberty, but there are ways of stimulating the release of more or of getting more
Sheeps and rabbits "convert more eggs to maturity" in each cycle than humans. Better now? When I had the idea of xenocloning I had just read an article saying that egg availability was one of the main barriers to human cloning. She-rabbits are also "born with all the eggs she'll ever have in her ovaries". I think that's true of all female mammals. Maybe the eggs must be mature (complete meiosis I and II and segregation of polar bodies) to be used in cloning. I don't know. Do you know?