COS conversion and travel - Daughter staying back

My L1A visa and my daughter’s L2 got expired on 02-Apr-2015. My wife is currently on an H1B visa and we applied for a I-539 COS for us and I got a receipt as of 20-March-2015.

Now my company wants me to join them in their overseas office.

My question to you how to work this out, since I read some where that if I travel the COS application would be abandoned. I am planning to travel alone and have my daughter stay with my wife here in Chicago.

What would happen to my daughter’s status if she stays back with my wife.

Will she get he H4 petition approved ? or would she have to travel with me and come back ?