Compulsive cleaning is the classic OCD. They have made TV shows about this, one being "Monk." But that is not the only diagnosis that fits your mom. My first qustion is why don't you give the poor lady a break. Give her a time out anywhere. It doesn't have to be expensive but it can be somewhere. Living in the Projects I am sure there isn't a lot of money to work with.
Here is a couple of other diagnosis she could fit under.
Arachnophobia - Fear of spiders.
Ataxophobia - Fear of disorder or untidiness.
Entomophobia - Fear of insects.
Insectophobia - Fear of insects.
Mysophobia - Fear of dirt and germs
Amathophobia Fear of dust.
Koniophobia Fear of dust. (Amathophobia)