[3] On the death of Archbishop Frederick Cornwallis, he was translated to the See of Canterbury on 26 April 1783,[4] on the joint recommendation of bishops Robert Lowth and Richard Hurd, both of whom had declined the primacy.

Though not a great ecclesiastic, Moore was an amiable and worthy prelate, a competent administrator, and a promoter of the Sunday-school movement and of missionary enterprise.

[5] Moore was married twice, first to Jane Wright (1736[6] – about 1765[7][8]), the sister of Sir James Wright, Resident at Venice[9][10][7][8] on 29 April 1763 at Walcot St. Swithin, Somerset, England;[11] and secondly, on 23 January 1770, to Catherine Eden, daughter of Sir Robert Eden of West Auckland.

[12] More than 30 years after his first wife's death the Archbishop would officiate at the wedding of her nephew, the later Sir George Wright, 2nd Baronet, to Rebecca Maclane, on 3 June 1796.

[13] In 2017, during the refurbishment of the Garden Museum,[14] which is housed at the medieval church of St Mary-at-Lambeth,[15] 30 lead coffins were found; one with an archbishop's red and gold mitre on top of it.