A family tree on Ancestry shows Joshua Loveless 1792-1837 married Elizabeth Miser 1819 in Butler Co, Ohio.
An Elizabeth Loveless age 50+ is listed in Cole Co, Mo 1840, and in Benton Co 1850:
1850 Benton Co Mo census
Elizabeth Loveless 61 Pennsylvania, farmer
Chilian Loveless 22 m Ohio
Mahlon Loveless 25 m Ohio
Jonathan Loveless 20 m Indiana
Eliza Loveless 17 f Indiana
Looks like Joshua probably died in Indiana and his family continued west to Missouri.
Elizabeth is not listed in Benton Co. after 1850 or in the county's history books.