Lea County Sheriff's Posse Patch - 3 of 3
I bought this a good thirty years ago, (along with the other two patches) in a toy shop in Glasgow, Scotland. I'm not sure if this one is a real police badge. There's a Lea County police badge in New Mexico that looks similar.
I've always liked the styles and colours of the American police state badges - beats what we have for the police regions in the U.K.