Go Gloria! You've done a great job! Now that the coop is bigger, lack of space that may have played a roll before, is not an issue now. The average layer feed has 16% protein and 4% calcium. Those are the minimum recommended allowances. Molting birds, non layers and roosters need more protein, less calcium. That is why snacks should be limited to 10% of daily ration or the protein and calcium levels drop too much. For you, with no roos, layer+calcium -tons of snacks or,+high protein snacks is ok.
How are the dogs? No new trouble I hope?
Anyway, the big egg, did you break it open yet or weigh it? I have a six yr old EE that has fatty liver but still lays eggs sometimes. I am watching her for EB or broken right now. She seems broody but that is not the way of an EE. With the fatty liver tissue, it is difficult to feel for an egg. I suppose she is getting a vent check tomorrow unless there is a present in the nest box. (I totally expect her to just drop dead any time) She is still chickeny but goes to roost early, as does my six yr old bantam who has not laid since last fall. Her [the EE] eggs are quite large, like I know when they are hers and not the other 3, and they are frequently body checked. Did you ever notice anything like that about her eggs? I also have an 11 month old RIR that lays elongated eggs always, w/o double yolks, expecting problems with her later on...One of the 11 month EE's had IL, walked like a penguin, but reabsorbed and is laying again, gotta watch her too.
I guess the point is custom feeding. When the EE got fatty liver, I stopped cracked corn and switched to scratch. Since she and the bantam only lay when they feel like it and I have 3 roos, I changed to an all flock, and doubled the amount of oyster shell available. The Goldie Locks formula- the non layers get less, the layers get more, and for the roos, it's just right. Plus, cutting out 2/3rds of the corn should help keep everyone safe from fatty liver.
Sorry for rambling...off to bed....
!) we feed them sunflower seeds and fresh picked grass for treats, and sometimes oats or fruits/berries as avalible (table scraps) we also give them fresh greens. 
she was always low on the pecking order D:
