If you think Amos is Arron's father, find Amos's probate records which should have a list of his children.
It's very difficult to know if I've found the your Arron with so little info.
1830 Grandview, Washington, OH
1834-1837 Granview, OH Tax Records
I'd look at Washington County land, marriage, tax and probate records. You'll probably find them in FamilySearch, Collection but they won't be indexed.
Look for him in newspaper articles. Ohio Memory, www.ohiomemory.org
has old newspapers. Successful Searching!