financial responsibility for 19 yr old

As parents in New York State our 19 yr old is not a student.
He does not have health benefits at work. If he gets sick and has a bill he does not pay are we financially responsible for that since he lives in our house. How does this apply in other situations financially until he is 21?

My response:

At age 18, he became an adult - - by law; and certainly not by virtue of his brain power however.

As such, and despite where he's living, he's the responsible party for his own bills - - not you.

IAAL