The book, "Coggeshall's In America," lists a Peleg Peckham, (b. May 1, 1710, in Middleton, RI) married on July 1734 to Elizabeth Coggeshall (b. Aug 20, 1710 in Middletown, RI). Peleg Peckham's parents were Joseph Peckham and Wait Gould. Elizabeth Coggeshall's parents were Thomas Coggeshall and Mercy Freeborn.
This Elizabeth and Peleg had a daughter by the name of Elizabeth, b. 1740, but the books lists her husband as George hall.