Try looking at this family in next door Ray County, MO. I was not able to find another Ben F.
1900 Ray County, MO
Greffey L. Neal 70 b. in MO
Mary E. 58 b. in MO
William I. 36
James E. 21
Benjeman F. 16
Likewise in Caldwell Co., MO, also a neighbor of Ray County is this family.
1900 Caldwell, MO
William Ware 50
Do you know when and were Frank died?
I was not able to find Frank in 1910 either. Hopefully, other researchers will have better luck.