Well Done! You've put in the call and gotten the ball rolling. Excellent.
I wouldn't alert the other Mom.This is one of those times to focus on DD first. Schools get so easily touchy about parents advising other parents. But I agree it is hard being less than 100% forthright. This has been a big issue for me and excellent training in family loyalty for me.
I would just stick to the relationship you have with the mum...a supportive friendship. Eventually you may want to suggest the assesment but I would wait until there have been a few months more and several playdates at eachother s houses.