Bond doesn't identify Lydia Perry, wife of John Ball, nor does he give a marriage for Lydia, daughter of Josiah & Bethiah Perry on p. 403. But she is the only Lydia in the area old enough to marry in 1739, but young enough to have several children through Joseph in 1751. She named a son Josiah (her only daughter named Mary probably to honor John's deceased 2nd wife so no chance to use Bethiah), and her father Josiah Perry ended up in Worcester, providing significant circumstantial evidence this is the proper identification.