After termination, must we pay worker for personal days?

Q. I recently terminated an employee who was first hired part-time on 8/15/11 and later became full-time on 10/3/11. When hired, she was offered 15 vacation days, five personal days and 10 sick days. Now that she has been terminated, is she owed the five personal days in addition to the vacation days she has accrued since going on full-time status? – Anonymous, New Jersey