Parker married Catherine Ann Pumpelly, daughter of Charles Pumpelly, of Owego in September 1835. They had four children, including
Charles and Francis Henry. His son Charles also served on the New York Supreme Court. His wife died in 1845. He married Stella A. Pumpelly, another daughter of Charles Pumpelly, on March 1, 1854. He was a member of St. Paul's Church in Owego. Parker died at his home in Owego on December 16, 1873, and was buried in Owego's Evergreen Cemetery. ==Awards==