Hugs Hun times 2! I can't imagine how hard it is with two. So a couple of thoughts on how to tackle the night wakes and early wake ups.
Regarding their routine, I think that they should stay up longer between naps. Probably closer to three hrs may be more age appropriate for them. Since they are only up for around 2.5 hrs between naps, I'd slowly start to increase their A time by 10 to 15 min for 3 to 4 days and then do another increase. This will allow them time to get used to the increased A. By having their morning nap a bit later, hopefully we will see a reduction in the ew's by Claire. For future reference, here's the average A times by age
Average A times- BOOKMARK ME! . Also, with the increased A time, they probably do not need the CN. If they seem more tired late in the day, aim for an early bt rather than another nap. Basically their day should eventually look like this.
Wu 7:00
S 10:00 to 11:30
S 2:30 to 4:00
Bt 7:00
By getting them on a routine with a bit less DT sleep and longer As they may sleep better at night.
Regarding Lily's nw's, I think that following different techniques may have caused some issues for her sleep. Please note that on the BW forum, we do not support crying it out methods as these strategies can break trust your Lo has for you. When she cries, she needs to know that you will be there for her. We hope that you can stop using this technique as it will only make things more difficult in the long run.
Cry it out (CIO): 10 reasons why it is not for usYou can regain Lily's trust by responding to her, keep her on a routine so she knows what to expect next and be consistent with the settling technique for naps and at night (the back rub or light patting is a grat way to settle her). Here is some more info
Regaining Trust of Your Child.
Frequent nw's can also be caused by discomfort and separation anxiety. Has Lily had any tummy problems (constipation or diarrhea), any food allergies or intolerances? Is she teething? Do you think she has any separation anxiety during the day?
Sorry for the long post. I hope that you find some of these suggestions helpful