If you are not on the birth certificate you need to get a domestic partnership. If there are no children for your daughter and boyfriend they cannot go into a family shelter unless they have children. I don't think they can go to an adult shelter together unless they're married or have a domestic partnership.
You and your girlfriend is going to go with the kid the five-year-old and your daughter which is 26 and her boyfriend is going to go to a different place
Me and girlfriend have a domestic partnership and also my daughter have domestic partnership and a five year old child
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