So both of you are homeowners?
even though I'm not a woman, i have learned that after certain age, maybe after age 40, women 's interior thermometer goes crazy... some of them suffer from always being cold as it might be the case of your mother... whereas other women suffer from always being hot.
Now, maybe another reason as to why your mother doesn't want the air conditioning on could be because she wants to save money...
How can you have the nerve to have your mother arrested? man, i don't understand some people who are willing to do horrible things to their own family members! some people abort their kids... other people euthanize their parents... other people kill their spouses because of a life insurance... other people kick their children out of the house when they turn 18....then you have men who abandon their kids.. Why are we so cruel????? i don't get it!!
Now, may i ask where's the father of your 4 year old child? did he marry you? is he raising the child?