Gentry connexions of Mary Moseley, wife of William1 Coddington of New England

Savage's _Gene. Dictionary_ says the following about the New England
immigrant William Coddington:

WILLIAM, Boston, an Assist. of the comp. chos. in Eng. 1630, bef. the
embark. of Winthrop with wh. he came, had liv. at Boston, Co. Lincoln,
where the rec. of St. Botolph's ch. shows he had Michael, bapt. 8 Mar.
1627, wh. d. in two wks.; and Samuel, 17 Apr. 1628, bur. 21 Aug. 1629.
His w. was Mary, d. of Richard Moseley of Ouseden, in Co. Suffk. and
she d. here in few wks. after arr. On 1 Apr. 1631 he left Boston, in
the Lion, with his friends, Rev. John Wilson, and Sir Richard
Saltonstall, soon found new w. Mary, and had a ch. in Eng. 1632, and in
May 1633 came again to Boston, here had Mary, bapt. 2 Mar. 1634; and
Benajah, 1 May 1636. He was treasr. of the Col. 1634, 5, and 6, and as
one of the antinom. party left out of office next yr. but chos. rep.
for B. and early in the foll. yr. went to R. I. wh. he purch. with
other heretics, wh. made him Gov. Perhaps he had other ch. in R. I. by
the sec. w. wh. was bur. at Newport 30 Sept. 1647; and in Jan. foll. or
perhaps 1649, he went again to Eng. carr. his d. and there resid. some
yrs. got ano. w. Ann, by wh. he had William, b. there 18 Jan. 1651,
unless this means 1652, and came back to N. July 1651, arr. in Nov.
bring. new chart. of 3 Apr. 1651, as sign. by the Lord Presid.
Bradshaw. Other ch. by this third w. were Nathaniel, b. 23 May 1653;
Mary, again, 16 May 1654; Thomas, 5 Nov. 1655; John, 24 Nov. 1656;
Noah, 12 Dec. 1658; Ann, 6 June 1660, prob. d. young; and Ann, again,
20 July 1663. He was Gov. again late in his days, having been many yrs.
withdrawn from public affairs, embrac. relig. views of the Quakers, by
the persecut. of wh. at Boston he was so much disturb. in spirit, as to
write to his old friend Gov. Bellingham and some of the counc. a letter
of admonit. 12 Aug. 1672, wh. by B. without communicat. to the others
was burn. as C. says, wherefore he wrote again 20 Oct. foll. by the
hands of Leverett. See "Demonstration of True Love," writ. by C. print.
1674, a very rare tract. He d. in office 1 Nov. 1678, aged 77, and his
wid. d. 9 May 1708, aged 80.

The 1633 Visitation of London, p. 114, shows that "Mary wife to William
Cottington of Boston in the Countie of Linc." was daughter of "Richard
Moseley of Tunstall in the Countye of Staff," although her *brother*
Richard was indeed of Ouseden, in Co. Suffk., as reported by Savage.

I think this would add something to Anderson's _Great Migration
Begins_, which just presents her as "Mary Moseley" (with no parents
shown).