We don't have a farm, only 7 and a half acres on top of a wooded hill. But we have TONS of critters, domestic and otherwise, thus we named our place:
Critter Hill
At any one point we have our cats, chickens, crabs, hamster, plus our neighbor's honey bees, raccoons (wild, but we've named some of them), skunks, possums, groundhogs, various rodentia (squirrels, chipmunks, mice), plague of toads, frogs (not as plentiful as the toads), spiders the size of small hamsters, some sort of small reptiles (lizards? salamanders? not sure), snakes (garter and corn snakes), enough birds to deafen you in the day time, enough bugs to deafen you in the night time, bats, occasionally our neighbor's old one eyed beagle, deer, groundhogs, wild pheasants, wild turkeys, foxes, occasionally a pack of fox hounds in full cry, bunnies...
I'm sure there is more that I am forgetting, but once we realized how ALIVE this place was, we figured the name was appropriate.