Picture showed Uzumaki Kushina real face who is also Naruto's included mother. One day, Jiraiya visits Namikaze Minato family.
Then Naruto stills new born and not yet named. This Naruto's name given by Jiraiya. Minato and Uzumaki Kushina allows that name.
Kushina and Minato hopes Naruto will become a great ninja and done good deeds. Close ties between Minato family with Jiraiya proves close ties between Jiraiya with Naruto.