Will a sent text from a diffent time zone show on my bill my time or theirs?

I am being accused of sending a text by my husband to a person that is an hour behind us. They live in Alabama, and I live in Florida. If the text was sent by me, on the bill, will it show the time that it was sent from this location?

Most phone bills separate incoming from outgoing calls. An outgoing call originated in Florida and an incoming in Alabama. If the company that provides your phone doesn't do it that way, call the billing deprtment at the phone company and ask them.