Answer:
I have a mouth on my head and eat everything.
Soft hairy from door to door. I am the pet that always stays on the floor.
What is so delicate that saying its name breaks it?
I am always running but I never get tired or hot. What am I?
I think you live beneath a roof that is upheld by me; I think you seldom walk abroad but my fair form you see; I close you in on every side you very dwelling pave and probably I'll go with you At last into the grave.
Give it food and it will live, give it water and it will die.