Hello Cheryl,
A cross bite certainly suggests a narrow upper arch. It is now an accepted finding that mouth breathing is the main cause of narrow upper arch, due to reduced airflow in the nasal cavities and lack of tongue contact on the roof of the mouth. Taking teeth out due to crowding is not the best option as it will only reduce the jaw size further.
Getting feedback from members such as yourself is very useful for my study into the possible link between narrow upper jaw and chronic irritation.
Thank you for your input.
Best wishes,
John