This is really a good recipe. My family just absolutely loves it and begs me to make it all the time.
Preheat oven to 350 degrees F. Boil chicken for one hour or until chicken falls off the bone. While chicken is boiling, dice onion and mash into cream cheese until blended smoothly. Add about ¾ can green enchilada sauce and blend that into the cream cheese mixture. Then grate both cheeses and mix them together.
After you get the meat off the chicken, mix this into the cream cheese mixture.
Add enough vegetable oil to a skillet and get it hot enough that water makes it sizzle. Then add one or two tortillas for about three to five seconds, flipping them once. After this is done, fill the tortillas with the cream cheese mixture and then roll them up with the seam down in a 9 x 13-inch pan, then pour the remaining 1-¼ cans enchilada sauce over the tortillas and spread all over. Top with Monterey jack and Cheddar mixture. Bake at 350 degrees for 20 minutes.