Can I adopt my grandaughter if I have her mother's permission? The child's father is deceased and the paternal great grandmother now has temporary guardianship.

The guardianship will have to be revoked and it may mean a fight, but if your daughter is agreeable, it should work. Get an attorney.

I'd be curious why the "other" grandparents have guardianship. Did the mother LOSE her rights, even temporarily, through some sort of action? Is she legally competent to make this decision?