I am looking for a way to split points by a county polygon feature class. The attached image shows two feature classes: one composed of points and the other a county polygon feature class. The split tool would be ideal if it allowed points. I would prefer a clean output without additional fields added to the point attributes. Additionally, I would like to have the county name from the polygon feature class defining the new point feature classes (e.g. Kiowa, Clark, Comanche). I appreciate any solutions and advice.
For this example, the final product should be three point feature classes named "Kiowa", "Clark" and "Comanche" produced from one, larger point feature class. An automated solution would be ideal, as I have many, many merged point FCs over dozens of counties to work with (approximately spanning the state of KS).