I need some info on how to wire from a Hunter 44155c thermostat to a Honeywell
RTH110B thermostat.there is nothing showing which wire installation from the old thermostat

Do you have a Heat pump, or do you have air conditioning.

How many wires do you have going to the thermostat, how many terminals do you have at the thermostat and how are they marked?

... and please provide which wire colors go to which terminal markings on that Hunter?