Thank you for your response! I'm operating on the assumption that the family was non-conformist; I do have the children's names and baptisms for two of them in the Methodist and Wesleyan records listed below:
The children of Thomas and Lydia Priestley, all born in Halifax (Ovenden) were: Sally (1831-, m. 1852? John Barton 9b67 BMD ), Ellen (1832- m. Squire Jackson), Thomas B. (1834-1891, m. Clarissa Leake, moved to US), Emma (1835-aft1897, m. William Speight, 2nd Greenwood King), Mary (1837-1914, m. Heber Illingworth).
Ebenezer Primitive Methodist Halifax – Sally b. 06Jan1831, c. 19May1831, dau John and Lydia Blackburn Priestley
South Parade Wesleyan Halifax – Ellen c. 29Jun1832, dau of John and Lydia Priestley