Here is what I found, there may be more. From"The Cheesman Dossier" by Dave Cheesman:
William Cheesman b 24 Sept 1753, New Brunswick, NJ, son of William Cheesman (1728-1818) and Margaret Dey (1730-1818). William(1753) m his maternal cousin, Lydia Dey(1763-1844) on 11 Apr 1780 in Upper Freehold, Monmouth Co, NJ. He d 6 July 1834, same place. He was a vet of the American Revolution, private, and was promoted to Sgt, 1st Reg NY Troops and later Lt of the Monmouth Co, NJ Militia. William and Lydia's son, Joseph was b c 1800 in Monmouth Co NJ. He m Hannah Joyce, Apr 1828, Burlington Co., NJ (FamR) He d 1873 in Monmouth Co(1873 Monmouth County recorded will #4997.) Joseph and Hannah had a son, William Henry b between 1730-1845, probably in PA. William H m Sophia Shulkum, Apr 1865 at Harpers Ferry WV. He was a Civil War vet of Co F, 12th PA Cavalry, Private, and was disch. 27 June, 1865.
Albert Stirling Adams, in his book, "The Cheesman Family", lists other children of William and Lydia Dey Cheesman as: 1. Lawrence, b 28 Oct 1781; d 13 June, 1786 2. Margaret b 7 Dec 1783; d 11 Aug 1818 3. Reuben b 26 June 1788 4. Mary b 11 Sept 1790 5. Enoch b 20 July, 1793 and m Hannah Forman? 6. Sarah, b 9 Mar 1796, Monmouth Co near Freehold; d 1867, Warren Co., Ohio. She m James Hankinson, prob NJ in 1815 and removed to Warren in 1818. 7. Abijah m Hannah Parker 8. Joseph b 7 June 1802 (and m Hannah)
Adams also says that William who m Lydia Dey was the son of Joseph Cheesman(1719-1808), Monmouth Co and Lydia Parent (or Lydia Cox).......... If I read it right! 1719 sounds a little early for Joseph to have been the father of William. Hope I have given you something useful! Linda