Two main Harter lines?? There are at least five! And probably more. There is one group originally settling in the Mohawk Valley of New York, and this seems to be the eariest established in the U.S. There are the Andraes and the Joh. Georg Harter lines. There is agroup which first (to my knowledge) shows up in Rockingham County, VA. Finally, there is a group of Harters originating from a family which settled in South Carolina. I have to date found no evidence of a relationship between any of them - at least in the U.S. There is one way to begin sorting out the families, and that is for Harter males to have Y-DNA testing done - and I encourage this to be done. It is a simple process involving a swab of the inner cheek. If you do, go with Family Tree DNA. This is the most reliable company and is the company associated with the National Genographic study, so has access to the largest database.
Now, as to the original question, I have very limited information on the family, but I believe Jesse belongs to the Rockingham County, VA. Harters. (That is only a guess so don't place any bets on it!) Birth in Hebron, Ohio does not help at all in placing him, because all the early Harters seem to have moved through Ohio at one time or another. Joh. Georg Harter's family moved from PA to MD to VA and finally to Darke and Preble Counties, Ohio. By the late 1800s a few persons had moved back eastwards to the center of the state, but nothing matches in my database. A group of Andraes' descendants settled in Montgomery County around Dayton. The Rockingham county Harters moved through Kentucky and settled in Miami County, Ohio, before moving northward to the Lima area (Allen County). There were Harters from both Andraes' and the Mohawk Valley who migrated through eastern Ohio. Finally, if you look at ship passenger lists there were several Harters who arrived in the middle of the 1800s, some of which apparently appeared in Ohio. Given all this, my "gut feeling" is still that your Jesse belongs to the Rockingham County group.