Helen, Helen, Helen!

Logwood asked whether "East" and "West" were part of the street *name, not whether it was included in the address; and going by the tiles on the subway walls, they are not.

Astor Place isn't West Fourth Street at all, it is just the dinky little side kick of 8th Street, and runs only from Broadway to Third Ave, at Cooper Union, its confluence with Eighth Street. From there on East, it's St. Mark's Place all the way to Avenue A.

Incidentally, O, nominated mascot, Avenue A *is named "Avenue A."