Non-inverting amplifier input voltages are different, related to limited output range?
op amp is LM741


A 741 won't do what you want - you can't take the inputs close to the power rails and you can't expect the output to span the power rails. Neither should the 741 be operated on 5 volts unless the specific data sheet for that part says it can work at 5 volts.

Read this: {Reasons not to use a 741](Reasons not to use a 741 op-amp?).