OK I see that I must post a reply to myself on this topic.
Hinata and Naruto would name their son Naruto jr Uzumaki and if the child is a girl they would name their daughter Hinatita jane Uzumaki since those names are based to be named after the parents of the baby.
You was complaining that I have got good faith in Naruto that he will fall in love with Hinata plus they would name their son Naruto Iruko Uzumaki but if the child was a girl they would name their daughter Hinata Saukra Uzumaki.
Naruto and Hinata would name their son Hiruto Naruto Uzumaki and they would name their daughter Hinara Hinata Uzumaki because both names is the names that is named after Hinata.
If the baby is a boy they would name their son Irukio Uzumaki but if it is a girl they would name their daughter Irukia because Naruto would name his and Hinatas baby after Iruko sensei a ninja that treats Naruto as if Naruto is Iruko senseis son.