When I had my daughter I was going through the same thing. I think that I have taken her to see about 4 doctors to find out what was wrong, no one could give me an answer. Everytime she needed something should would communicate by pointing at it an make noise, because she always got what she wanted there was no need for her to speak. One day I had to be at church for a christmas dinner that lasted till about 12am. My oldest was looking after her and she would do the same. At one point my oldest got so fustrated that she said "I can't understand you and if it is something that you wanted then you need to speak". She had no choice at that time but to say something because she was not getting what she wanted. Now she is twelve and I can't stop her from talking.
There is a device on the market. It emitts a sound that only mice and other animals can hear. I have tried it before because I lived near a field and had mice problem. This device not only rid you of mice but other insects. You could find it at any hardware store.