Answer:
a. Mrs.Walter, the new librarian, is from Arizona.
Step-by-step explanation:
When the noun preceding the appositive provides sufficient identification on its own, we need to use commas around the appositive. The appositive the new librarian needs to be set off with commas as it is not essential to the meaning of the noun it belongs to (Mrs.Walter). So option A is correct.
All the other sentences contain errors in comma usage.