the library
 

I was taught that "the libraary" was behind the mound where BU frequents. Is that the wrong location?

I'm not sure it's "wrong", but it's different from what most seem to use. The area behing the mound is acalled the "working area." The "library" is in foul territory up the thrird base line where PU goes to read (get it?) the play and decide whether to cover third or retreat to home.

Called the "library" because it's where PU goes to "read" the play.