We know that William was a resident of York, York co., ME [1] from probably 1640 and certainly 1652 onward  at the time, Maine was part of Massachusetts. He received grant from Mr. GODFREY "probably prior to 1640"[3]; was also on the list of "Inhabitants of York at submission to Massachusetts" in November 1652[4]. In 1653, he was granted 20 acres with John HARKER in Maine. In 1655, he and Philip Adams received 80 acres at Hull's Cove from Mr. GODFREY -- this despite the fact that Moore & Godfrey had court actions in October of 1651 and also in 1653[1]. Finally, he received a grant from the town of York, York co., ME in 1674[1].
William was primarily a Fisherman and Ferryman. In fact, he was given a Ferry monopoly in 1683. He apparently dabbled in retail, being granted a Retail License in 1687 and cited for "retailing without lic." a scant three years later in 1690.
William was a Freeman, having taken the Oath of Allegiance in March of 1679/80. He served the Town via Jury duty in 1678 and 1691.  He also signed the "Yorkshire Petition" (as "Will: More") requesting that Major Richard Waldron be restored to his magisterial authority over York county on 5 July 1676 or in 1680 (sources give the two different dates. However, if he was only made Freeman in 1679/80, 1680 is a more likely date for him to have signed a petition.).
Circa 1650/1655 William married Dorothy [surname not known], whose father is unknown and whose mother Joane's surname is unknown, in York, York co., ME. We know the name of her mother's second husband is William DIXON, as Joane was named in his will dated 13 February 1666, but Dorothy was apparently his stepdaughter [5]. In 1686, the Court ordered William and Dorothy Moore to take their mother, Joane Dixon, into their home and maintain her out of the estate willed to her by her husband, William Dixon, deceased[1].
Dorothy died before 28 October 1693 in York, York co., ME [1]. She was still living on 5 April 1693, but administration of her estate was given to her son John on 28 October 1693. A division of property was made 10 Jan 1693/4 among her "five daughters", omitting daughter Dorothy, a known cousin of James Dixon, for some as yet unknown reason [1].
Children:
1. Elizabeth – b. bef. 1652 perhaps York, ME / 1m. Henry Spiller, bef. 1693 / 2m. Thomas Trafton, 1667 York, ME
2. John/Jonathan – b. 1654 / d. 1713
3. Robert – b. ca. 1658/0 York, ME / m. Anna Penwell, 1682 York, ME
4. William – b. bet. 1660 &1663 / 1m. Mary Wiggin, Oct. 7, 1763 Hampton, NH / 2m. Mary Elwell, Jan 18, 1719 Kittey, ME
5. Ann – b. ca. 1664/6 York, ME / m. Daniel Smith
6. Eleanor – b. ca. 1667 York, ME / m. Richard Rogers, 1692/3 York, ME / d. June 24, 1747 Kittery, ME
7. Mary – b. b. ca. 1670 York, ME / m. Roger Hunniwell, Oct. 2, 1701 York, ME
8. Thomas – b. ca. 1670 York, ME / m. Hannah Harris (or Williams) / d. Apr. 22, 1718 York, ME
9. Dorothy – b. ca. 1672 of York, ME / m. Daniel Dill
10. Sarah – b. ca. 1673 York, ME / 1m. Zaccheus Welcome / 2m. Henry Spiller