Hi J. -
My daughter is also allergic to eggs. I don't have a sugar cookie recipe without eggs, but I can give you some info that may help. First of all, there is a brand of foods called Cherrybrook Farms that has a bunch of eggs free mixes - pancakes, sugar cookies, cakes, etc. (My daughter almost lost her mind when I was able to make pancakes for her!) They have them at Kroger's in their special food section (ask them - ours is in the very front of the store...) Second of all, there is a product called Egg Free. It is a powder that you mix with water and you use it in place of eggs. You can make almost anything that requires eggs with it and they taste great! I've never made cookies with it, but I've made pancakes and alot of cakes...
Please let me know about any tips you know about eating egg free... I would really appreciate any hints, ideas or recipes!