After another member called this to my attention, I did some looking at the 'counterpart' profiles & records on FamilySearch.org. I'm currently at the state of thinking that there are 5 different James Lowry's involved ... and some children which may have been erroneously attached to them.
This is not based on exhaustive research, but simply a starting point for further work to be supported or disproved by other records and/or DNA evidence. This FindAGrave entry mentions a lot of records of various James': FindAGrave # 207350535 (Elder James Lowry on FindAGrave)
The 5 identified so far on FamilySearch are listed here (with corresponding Geni profiles to be added as they are found or created):
James Lowry m. Mary Veazy : https://www.familysearch.org/tree/person/details/9K6G-NH6 -- of Cecil County, Maryland, probably died Franklin County, Georgia. USA
Geni: James Lowry, I (the profile this discussion started under)
James Lowry m. Lucretia Perry : https://www.familysearch.org/tree/person/details/2DX2-ZMZ -- of North Carolina, died Madison County, Kentucky. Supported mostly by a Will.
Elder James Lowry : https://www.familysearch.org/tree/person/details/G864-LBF -- died Jasper County, Georgia. Primarily documented via FindAGrave # 207350535 (Elder James Lowry on FindAGrave). May have been born in Georgia. A lot of 'discussion/research' on the FindAGrave profile related to other James Lowry's.
James Elisha Lowery m. Polly Ann Erwin (different father than Honor Erwin) : https://www.familysearch.org/tree/person/details/GQMJ-XN3 -- born in Ireland. No current sources. May be "made up" family. No children
James Lowery m. Honor Erwin (different father from Polly Ann Erwin) : https://www.familysearch.org/tree/person/details/GX4X-K6G
The children of this couple seem to be of Georgia.
To me, it was the children's birth dates and places which led me to thinking they are separate persons -- along with the records noted in the "Elder James" FindAGrave memorial.