Hi Pam,
Thomas, Jane's father, was one of the seven children of John Williams, Gardd Llygad y Dydd(married 7-2-1817 to Elizabeth, bapt 30-1-1791, dtr of Wm Williams, B.A. Oxon d.1834 and Jane, died 1815). John also one of seven children, was the son of William Parry, Gardd Llygad y Dydd, bapt. 4-9-1740, died 28-9-1827, married 1773 Jane Thomas, d.1803, dtr of Thomas ap Richard and Catherine. Wm Parry's will exists. Most of the family's BMDs were recorded at Beddgelert chuch.
Hope this is some help,
Pinot