Since there seemed to be confusion on whether people with tree nut allergies should avoid shea butter products I contacted FAAN and this is their response:

Hi Lisa,

The shea nut is a tree nut that has not been widely used in foods in the
past, but shea butter and shea oil are being used increasingly in lotions,
bath products, shampoos, and cosmetics. Although no reactions to shea nut
have been reported, many doctors advise patients with tree nut allergy to
use caution and avoid products that contain ingredients derived from the
shea nut.

Even though my girls are allergic to peanuts, we avoid ALL Nuts so I am going to definitely avoid shea products just to be safe!