"… the widow Mary (Hall) Stocking, widow of John Stocker or Stocking, bapt. 24 Jan 1723 (Middletown First Congregational Church Records, slip index citing 1:80), and died 9 March 1774, at age 50, buried in the Old Cemetery, Durham (Hale 34)."
"Hall, … Mary, adm. full communion Mar. 24, 1723 [1:45]" "Hall, … Mary, [bp. or adm. com.] 24-1-1723 [1:114]"
It is unlikely that these entries apply to the Mary Hall who married John Stocking and Nathaniel Chauncey. An infant or young child would not be admitted to full communion.