Answer: adoptive father
When the biological mother claims that her/his child was parented by a man, it means that the man is an adoptive father who has also legal rights to his/her child. Parenting a child from an adoptive father would also means taking care of the child willingly even by means of financial support.
Meanwhile, presumed, alleged and legal fathers are the biological fathers of a child even if they did not established parental relationship with the child.
