called me twice and recorded message came on. said their name was deborah and to call 877-563-3868.

I just got the same call.

its registered to harris county hospital district      an account rep.

Can anyone tell who they are?

it's a pre-recorded message from a collection agency.  They do random calls, leaving a message with no information and leave a number for you to call them.  Because they have no business calling you - it's a fishing expedition.  If you call them back, they will use deceptive means to get your personal information and you get on the "list" and you can expect to receive harassing calls from them for months.

They don't care if you are the debtor or not they just want to make money.  They routinely ignore the DNC list and are willing to pay any fines to get money.

Report any calls. And don't answer any calls.