In fact, I leave near a Street Road, but it was named for a person named Street. I have to say I'm quite surprised to find an Avenue Street.
Coincidentally, yesterday on FaceBook a British friend of mine was commenting on funny street names. Apparently there is a green, and therefore there is a Green Street, so it became called the Green Street Green. There is a road that runs along that other side of the green. It's called Green Street Green Road.
I wonder how many of those little forms with boxes for each letter actually have room for that one?