Family Law Questions? Ask a Family Lawyer Online.
First, I am so sorry to hear about your daughter. This would be unusual in that I am presuming the father would have the child the other 50% of the time. It is possible that an arrangement could be approved by a judge where you have custody at times shared with the father.
Yes, if the father cooperates then a judge would very likely approve it.
I would suggest working with a local attorney in your area who has experience with guardianship/custody matters.
Let me know if you have any additional questions otherwise a positive rating of 5 stars would be greatly appreciated.