The DAR Index has this;
COX, NICHOLAS Ancestor #: A027063
Service: NEW JERSEY Rank: CHAPLAIN
Birth: 24 Mar 1742 NEW CASTLE DELAWARE
Death: (ANTE) 7 Apr 1826 SUSSEX CO NEW JERSEY
Service Description: 1) 1ST BATT. 2ND ESTABLISHMENT
Residence 1) NEW JERSEY
SpouseNumber Name 1)REBECCA POTTS
You can purchase a copy of a woman's approved application via
http://www.dar.org