Driving Points Transfer Between States?

I was driving home the other night in NY when i got pulled over going 90 in a no name town that isn’t even listed in phone book. After much searching I found the number to their local court of which is open only every other day. Upon asking the clerk if the points will transfer to NJ she said no. However I am skeptical about her answer. Does anyone have any experience regarding points transferring between states? Especially states that border each other. Granted the town was in upstate NY, nowhere near NJ, they are still adjacent to one another. Any info is appreciated.