Hi Anita, Many thanks for your research on these people. The 1820 may have been a year of movement for them to Pike Co., since they weren't on Licking. Both Adam and Daniel died in Pike--in 1822 for Adam, and 1826-1833 for Daniel.
Adam had wife Margaret and children Rebecca, George, Jacob, Mary and Abraham.
Daniel had wife Christine and children Mary Ann m. Jeremiah Shelton, Elizabeth, John H. m. Elizabeth Condon (the one you found in BRISTERS v.2: the D.E. was Daniel E., but I don't have anything more than the names of John's children), and Sarah.
The Henry Burner marriage may have been of the family of Henry Burner 1786-1854, wife Mary Magdolena and children Jacob V., Henry JR, and Sara who m. Isaac Wilkins I believe in Licking co. Several of this family migrated to ILL.
Who are the spouses listed in MARRIAGES 1808-1875 to the Burners Abraham, Catharine, and Henry, and dates? Do the probate records list any information?