I could be way off, but--after looking at the 1860 Census, I believe all the children there are children of Sally Adams Bennett , they all showsur name of Adams, and she evidently was a widow who married Richard Bennett. And Rachel is 12 not 42.
In 1870 Census still in Henry Co., there is a Rachel Adams with a William Harper family--a Sarah Adamswith anotherHarper family--and Nancy Adams with still another Harper family. Maybe Sarah Adams Bennett's maiden name was Harper ??
I checked the 1850 Census for an Adams family and found a Sarah (Sally) the correct age, with husband David age 50. They have 12 children ranging in age from 22 through 2 & including a Susan, George, and Rachel. Sarah Jane and Nancy O were both bornafter 1850. So it is possible, but would take some more checking to determine if it is correct or not.
1860 United States Federal Census 1860 United States Federal Census Name: Richard Bennett Age in 1860: 47 Birth Year: abt 1813 Birthplace: Virginia Home in 1860: Subdivision 1, Henry, Kentucky Gender: Male Post Office: Lockport Value of real estate: View Image Household Members: Name Age Richard Bennett 47 Sally Bennett 53 Susannah Adams 19 George Adams 15 Frances Jane Adams 14 George F Adams 11 Rachel Adams 12 Sarah Jane Adams 9 Nancy O Adams 4 Pheba Giles 1