According to my map, Lawrenceville is midstate, right near the NY border, on Rt. 15.I haven't been there -- I found the cemetery information while looking for my ggg-grandfather, Patrick Niland (a different man).
I decided to post the information about Lawrenceville on the Niland Forum in case it might be of use to someone.
And I hope it is of use to you!
My Nilands all ended up in Connecticut -- as far as I know, never went west.Good luck!