After a few rocky nights, things have seemed to settled down and returned to normal. Last night, all three of us went to bed around 8:30 and slept until a little after 8:00 the next morning. I think that qualifies as having successfully overcoming jet lag.
Sophie is back in full force, nice and snug in her familiar routine, she is now going to bed and getting up at roughly the same time pre-jet lag, taking a two hour nap after lunch and eating well. Bailey is almost there, but not quite. The main problem is his refusal to nap and when he doesn't nap he is more likely to wake up at night and/or have trouble going to sleep. We spent the day with cousins yesterday and so he skipped his nap in favor of playing trains. As a result, he woke up crying twice. So, today I made sure he napped and I let him sleep until he woke up naturally (about two and a half hours). After that, he was good as gold.
He is spending the night with Grandma tonight, because I have to take Sophie to one of those mass, group check ups tomorrow and they always seem to go on much longer than planned. I hope that she gets him to bed at a reasonable hour (sometimes I think that she forgets he is only three years old) and makes sure that he takes a good nap in the afternoon, so we don't slide back down the getting-over-old-Mr.-Jet-Lag-Ladder again. Lord knows it is one heck of a fight to get back up!