Actually, I do have a very little bit of info on Cleaves in Beverly MA; within my Conant line two of this family married Cleaves- Lot m. Martha Cleaves and Rebecca m. Benjamin Cleaves.These were both children of William Cleaves, who is supposed to have married two daughters of Giles Corey.I pulled this info mostly from the LDS records, which I find rather garbled.You might try there, though; at least it might give you a place to start!
John Conant m. Bethiah Mansfield
Lot bp. 1 Jun 1679 Beverly, MA; m. Martha Cleaves; d. 20 Sep 1767 Elizabeth b. 14 Jan 1681/2 Beverly MA; m. Daniel Colbourn Bethiah b. 1684 John b. 1686 m. 1)Martha Dodge 2) Mary Lovett Deborah b. 1687/8 m. John Darby Mary b. 1689 Benjamin b. 1692 Daniel b. 1694 m. Lucy Dodge Rebecca b. 1696 m. Benjamin Cleaves (1/2 brother to Martha Cleaves) Jemima b. 1701