This child is clearly exhausted. I think until you decide if you will be keeping the family or not, you need to implement morning nap. If she arrives at 6:45 imagine what time she is waking up and I highly doubt that she is being put to bed by 6pm to get the full 12 hours that is needed at this age. I would have her down for a nap absolute latest 8am for 1 hour max. Even 7:30. All of my dck arrive between 6:45-7:30 and are between 12-16months and ALL have morning nap still. They all need it! They go down for 1 hour 8:30-9:30...sometimes early depending on if its a Monday. Its not worth it for me dealing with miserable exhausted kids. I would rather have them nap for an hour. They all nap again 1-3pm.