I have volume 4, third edition Family of Edward Fuller, 2006, the information in this book states that Mary Fuller that married Joseph Stoddard was a possible child of John Fuller Penelope or Peniniah Toola, under notes and I quote
"Mary and Dinah appear to be well situated to be possible daughters. They were 20 and 19 years old, old to have guardians when Lemuel age 17, Ambrose age 14, and Irene age 11 had their guardians appointed. Their births, as listed (with their maiden names included) in the 1776 Census with their husbands, fit well with this family, and Irene Fuller was listed as well. The Newington Congregational Church records list the possible death of the head of the household as well as the marriages of sons Abel, Lemuel, and Ambrose. their births would also fit logically into the gap between the marriage of John and Peninah in 1743, and the birth of Lemuel in 1752"
So according to the 2006 edition of the silver book volume 4 ( this is the latest one out I believe), Mary Fuller, her parentage is uncertain.