all service providers are different in how they explain information on bills, but they certainly don't tell the receiving caller where you are when you made a call. Likewise your bill will not display this information. The bills will say that a call was made to/from a phone number, and how long it lasted, nothing else.

Some carriers have plans to monitor children/family, but that is entirely different.

told a friend i was gonna be outta state to avoid this god aweful camping trip, if I talked to him during that time on a cellphone, can he see I wasn't in the state i was supposed to be by looking at his bill?