You won't actually see the term reciprocity, you will see the word "endorsement" on any of the applications. NCLEX is a standard test for the whole US, therefore the exam is good in all of the states. Before NCLEX was available, each state had their own exam. Depending upon which state that you lived in and what your actual score was, it would give you the possibility of reciprocity or not.
Good luck to both of you.......................