Generally speaking, when a couple is unmarried unless a father voluntarily steps forward and admits paternity (via an Affidavit of Paternity or similar - whatever the particular state recognizes - a DNA test is rather standard. And, honestly? It's foolish for a man to accept paternity w/o one, especially when unmarried. Mothers should not find it insulting or offensive. When unmarried, custody generally lies with the mother, because, well, there are people who see the child born so maternity is not in question. Child support needs to be filed for & ordered, as does parenting time for the father. They are separate matters.