On 28 Mar 1734 when Stephen was 23, he married Desire Munson (35581) , daughter of Ens. Joseph Munson (36419) (1 Nov 1677-30 Oct 1725) & Margery Hitchcock (17054) (9 Sep 1681-bef 1764), in Wallingford, CT.90 Born Feb 1707/8 in Wallingford, CT.90 Desire died in Wallingford, CT on 8 Nov 1791.90

Children of Stephen and Desire (Munson) Peck, born at Wallingford:
    i. Dan, b. 3 Dec 1734, d. 2 Jan 1736;
    ii. Dan, b. ca. 1736, d. without issue 27 Sep 1807 æ. 72 at Wallingford, m. there 28 Jul 1768 Abigail Hall (b. 25 Apr 1745 at Wallingford, d. there 31 Aug 1814, dau. of Joshua & Hannah (Hall) Hall);
    iii. Titus, b. 2 Jan 1738, d. 22 Sep 1778 at Wallingford;
    iv. Collier, b. 3 Nov 1739, d. without issue;
    v. Abner, b. 8 Mar 1741/2, m. Sarah;
    vi. Stephen, b. 18 Mar 1744, d. 28 Mar 1812 at Wallingford, m. 1st at Wallingford 3 Mar 1774 Sarah Ives (d. 18 Sep 1776 at Wallingford, dau. of Abraham & Barbara (Johnson) Ives), m. 2nd at Wallingford 25 Feb 1778 Margerty Parker (b. 5 Feb 1749/50 at Wallingford, dau. of Waitstill & Jemima (Munson) Parker, widow of Eliada Parker), m. 3rd Lois Benham (b. 13 Jul 1750 at Wallingford, d. 15 may 1825 at Cheshire, dau. of Joseph & Em (Curtis) Benham, widow of Isaac Beecher);
    vii. Desire, b. 31 Jan 1746, m. Ashbel Hopson; and
    viii. Phebe, b. 30 Apr 1749, d. without issue after 1793.90