My neighbors raise "cattle" on their land near Corsicana but worry about their "cows", referring mostly to the herd of female Brangus that produce new crops of little "cattle" each year. The little ones end up being "steers" if they're male. I've never heard anyone use "oxen" but most of the people I know who have draft animals have mules.
A high-school classmate of mine once asked in biology class what the difference was between a cow and a bull. I'm assuming he was thinking of "cow" in a general sense, but we all teased him about it for the rest of the semester.