You should follow both conjunctions
in either … or … (or neither … nor …) constructions with parallel elements. If you follow either with a verb and an object, or must have a verb and an object as well. Thus you should say She can either take the examination offered to all applicants or ask for a personal interview but not She can take either the examination offered to all applicants or ask for a personal interview. Similarly, you should say You may have either the ring or the bracelet but not You may either have the ring or the bracelet.
