The two were sleeping in the bedroom when an intruder broke in and began choking the woman.
This happened at 1:30 Monday morning on Flint Drive in Magnolia.
The woman fought off the man and the little girl woke up.
The intruder ran off.
Investigators have only a vague description of the attacker. He's six feet tall and was wearing a dark colored baseball cap.
If you have any information you are asked to call police.