Moto G (16GB) (3rd Generation) - should this phone get very warm when charging or feel that way when you are using the phone for an extended period of time (very warm to the ear)??
Here are a few things to try
You can also place you phone in Safe Mode and see if works any better
You can look at your battery discharge profile
Two finger slide from top…and tap on the battery percentage.
This should give you an idea if a single app is using excessive battery.
Also, any automatic updates, backup, syncs, etc…tend to use more
battery/CPU time which can heat up the phone.
The last resort option is to perform a factory reset