My sincerest condolences on your loss.
Your daughter, in the absence of a Will or Trust instrument made out by her father, is the sole heir of her father's estate, and you, as her legal guardian, could go immediately to the probate court and ask to be appointed the personal administrator of your fiance's estate, for the benefit of your daughter (Probate Code sec. 8464).
If you do not do this, then I can practically guarantee that one of your fiance's other relatives will, and they may attempt to circumvent your daughter's rights to the estate.
So find yourself a local probate attorney, and get going. For a referral, see: http://www.abanet.org/legalservices/lris/directory/main.cfm?id=CA.
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Then, it may be a "race to the courthouse." The court will want to hear from everyone involved. Without a lawyer, you will be outgunned in those hearings. The court may end up appointing a neutral third party to oversee the estate so as to avoid further conflict, unless you and the other woman can come to an agreement -- perhaps to act as co-administrators, for the benefit of your respective children. A third-party administrator will be paid out of the estate, which would mean the loss of thousands of dollars that could otherwise have gone to your children. So, you may want to give that other woman a courtesy call and invite her to coffee, because you will need some diplomatic skills.
When someone passes, things very quickly become "all about money," despite everyone's emotional pain. The person who is appointed administrator holds "all the marbles."
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