Jenesha is a modern coined name, likely formed from Jen- with the popular suffix -esha.
Jenesha is a modern coined name, likely formed from Jen- with the popular suffix -esha. That kind of construction is characteristic of recent inventive naming, where familiar beginnings are extended into new feminine forms with a pleasing cadence.
The name does not point to a single older etymology so much as to a modern naming aesthetic. Jenesha feels warm, rhythmic, and clearly contemporary. It carries the sense of individuality without becoming difficult to pronounce or remember. As with many coined names, its strength is in the sound: it feels deliberate, expressive, and distinctively modern.