The sources for Benjamin Franklin Abbott's birth are: LDS, and a family researcher, John Poindexter Landers who wrote and published material on the Abbotts, Lawrences, Olivers, Todds, etc. He was a former museum coordinator in Texas.
I have also been told by older family members )now deceased) that Ben's father's name was Alexander, from NY. I still haven't found one that fits due to lack of dates or maternal information missing to pursue the material.
Do you have a Benjamin or Alexander Abbott that might be possible?