See if you can get yourself a copy of either sleeping like a baby or 100 ways to calm the crying.
MJ was a dreadful daytime sleeper, and a few time there in the first 3 months he was awake and unhappy for a very long stretch of time (12 hours once).
You sound like you did the best thing you could, in getting your DH to take her so you could have a break. Another thing to keep in mind if she is overtired is maybe a relaxing bath?