I found the following information here:
Good Hope Cemetery
Westfield Township, Clark County, Illinois
Carothers, A. J.
born: 23 Feb 1842
died: 17 jan 1866
age: 23y 10m 22d
Could this be the burial location of Amanda Jane Carothers?
There are also lots of Lowerys buried in this cemetery. I'll have to look into that.