On October 15, 1855, George S Appelgage, William A Mann, and William B Clark, all of Carroll County, Mississippi, purchased two parcels of land from the United States:
The South half of the North East Quarter, the South West Quarter of the South East Quarter, and the North East Quarter of the South East Quarter of Section Thirty-four in Township Twenty of Range Five East, in the District of Lands subject to sale at Grenada, Mississippi, containing One Hundred and sixty-three acres and three hundredths of an acre
the West half of the South West Quarter of Section Thirty-five in Township Twenty of Range Five East, in the District of Lands subject to sale at Grenada, Mississippi, containing Eighty-on and ten hundredths of an acre
I also found living nearby in Carroll County in 1870, Samuel Applegate, age 58, born KY, living in a household with Susan Applegate, age 40, born KY.Also in the household are John McKenzie, age 25, born in MS, and Emma McKenzie, age 21, born in KY.I'll bet Emma is the daugher of Samuel and Susan.
The enumerator's handwriting is hard to read, but I think Samuel owns $4400 worth of land.I strongly suspect this is one of the two parcels purchased by George S in 1855 (I'd be sure if I could read the enumerator's handwriting).
Given the ages, the closeness, and the financial link, I think Benjamin and Samuel are brothers.