Magician's Nephew to Lion ,the witch ,the wardrobe

WARNING IF YOU HAVE NOT ALREADY READ LWW DO NOT READ: MAJOR SPOILAGE

I have been seeing many connection's from MN and LWW. For one I'm pretty sure that the ice queen is Jadis the chaotic magic user. (if you know dungeon's and dragons like I do this is pretty) Since in MN  Jadis eats the apple her face turns white and in LWW C.S Lewis specifically states that her face is almost pure white. Also the lamp post is probably coming from the lamp post bar Jadis threw at  Aslan. Anyways I thought that  the way C.S Lewis connected them shows that he is a very qualified author.