I make this debbie! A mexican friend some thirty years ago told me that they are called Chilaquilas and taught me to make them. (I am not sure about the spelling, just sounding it out here) But, she taught me to make it on top of the stove. You just tear the tortillas up into bite sized pieces and fry off, set aside and in anothe pan cook the other ingredients like you say to. Drain the grease off, combine with the first pan of torrillas put the jack cheese on and the top and you are done!
I then serve spanish rice, refried beans, a great salad and lemonaide. What a great meal.