The probate code provides a list of the individuals who have the power to act as the executor and the order they are to serve. If your sister was married, her husband would have priority, then adult children, etc. To file for the probate, you would need to complete the necessary documents, file them with the court, then send notice to required individuals. I have not idea what you mean by filing "Title 1 or Title 5."
Not every estate needs to go through a formal probate. Estates under $100,000.00 can be handled by use of an affidavit. Additionally, any assets that are jointly titled or have beneficiary designations pass according to those terms. Your sister's probate estate consists of everything else; so it is possible that you won't even have to go through a probate administration.
Lastly, the Probate code provides statutory authority for priority re. who will be the administrator of your sister's estate.
I am not sure what your reference to Title 1 or Title 5 means.
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Sounds like there's two separate estates: your sister's estate, and her father's estate. If this is the case, your sister's father's Trustee likely has no standing, right, or priority to administer your sister's estate.
However, if they (sister's father's Trustee) petitions the Court first, and you don't object, they could potentially be granted the right to administer the estate. I'd suggest talking to an attorney ASAP to get this thing off the ground properly.
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This information is not intended to substitute for professional legal advice and does not create an attorney-client relationship. You should accept legal advice only from a licensed legal professional with whom you have an attorney-client relationship.