Neutral wire reads voltage to ground when dimmer switch is on

I had three light fixtures stop working at the same time. #1. Laundry room ceiling fixture #2 Outdoor porch light (outside of laundry room exterior door) #3. Ceiling fan and it's 4 lights ( in living room located next to laundry room) The ceiling fan lights are controlled by a sliding type dimmer switch and there's a separate simple on-off switch for the ceiling fan.. I removed #1 and #2 fixtures. Using a Wiggins type voltage checker, I checked between hot leg and neutral leg at both mounting boxes and got no readings. (Yes, breaker and both light switches were turned on). Then I checked between hot leg and ground wire at both boxes and there was 110-115 volts, which was expected. Then I checked between neutral leg and ground wire at both boxes and was surprised when Wiggins showed voltage readings at both boxes. Not having a "Volt Meter", I don't know exactly how much voltage, but I could tell it was weaker than 110-115 volts by the Wiggins minimal spring jump and indicator light being less bright. I removed the ceiling fan light's dimmer switch from the wall box but left the wires connected. I slid the handle down to OFF position and rechecked the neutral to ground readings at #1 and #2 boxes. There was no longer any voltage, so... I went back and slid the dimmer handle up, to the on position, then checked #1 and #2 again. Now the weak voltage was there again. I replaced the dimmer switch with a new one and did the two voltage tests again. No difference, got the same readings as with the old dimmer switch. I do not understand how or why I'm reading voltage on the neutral legs to ground. Never seen it before. Any help out there would be most appreciated. Thank You!