1William Richard Cutter, Genealogical and Personal Memoirs Relating to the Families of Boston and Eastern Massachusetts,Vol. 3, p. 1306 (1908).
"(II) Francis Bowman, son of Nathaniel Bowman (I), was born in 1630, died December 16, 1687, aged fifty-seven. He inherited the homestead in Cambridge Farms, where he resided. He was admitted freeman in January, 1652. He married, September 26, 1661, Martha Sherman, born February 21, 1641. Children: 1. Francis, September 14, 1662, mentioned below . 2. John, February 19, 1665. 3. Martha, March 26, 1667, died December, 1667. 4. Nathaniel, February 9, 1669, died June 30, 1748. 5. Joseph, May 18, 1674, died April 8, 1762. 6. Anna, September 19, 1676, died September 26, 1700. 7. Deacon Samuel, August 14, 1679, resided in Cambridge; married first, Rebecca Andrews; second, Deborah.".
1Joshua Coffin, Genealogies, Chase Family, NEHGR Vol. 1, p. 70 (Jun 1847).
Torrey(next source) suggests that most of the children were mothered by Lydia Challis.
"The children of John2 and Elizabeth Chase were as follows:
I. William,3 b. 3 Jun 1679.
II. Philip,3 b. Sept. 23, 1688, m. Mary Follanbee, April 17, 1712.
III. Charles,3 b. Jan. 12, 1690, and m. Hepzibah carr, July 15, 1714.
IV. Jacob,3 b. -----, m. Joanna Davis, Aug, 24, 1716.
V. Abraham,3 b. -----, m. Ruth Morse, Nov. 16, 1716.
VI. Phebe,3 b. -----, m. ----- Tucker.
VII. Mary,3 b. -----, m. Joseph Safford, July 30, 1728.
VIII. Lydia,3 b. -----, m. William Blay, Nov. 5, 1724.
IX. Elizabeth,3 b. -----.
X. John,3 b. -----, m. Abigail Chase of Hampton, N. H.
John2 Chase m. for his second wife Lydia -----.
XI. David,3 b. son of John and Lydia, b. Oct. 20, 1710."2Clarence Almon Torrey, Torrey’s New England Marriages Prior to 1700 (2001)
This source suggests that children after 1687 were not the children of Elizabeth Bingley, but rather of Lydia Challis.
"CHASE John John (1655-) & 1/wf Elizabeth BINGLEY; 23 May 1677; Newbury {Chase (,1) 39; Wheeler 396; Essex Ant. 9:93; Sv. 1:181, 365; Bassett-Preston 57; Reg. 1:69; Pillsbury Anc. 1101; Spear Anc. 130}
CHASE John John (1655-) & 2/wf Lydia CHALICE/CHALLIS (1665-); 21 Dec 1687; Salisbury {Chase (,1) 39; Wheeler 396; Bassett-Preston 57; Challis 10; Pillsbury Anc. 196, 1101; Spear Anc. 130}."