ok so the reason for the question mark in the title is because i want people to draw their own conclusions but it pretty much obvious, in the recent naruto manga chapter well i'll post the dialog for you guys the conversation is between jiraiya and tsunade they are referring to naruto taking over as hokage if something should happen in the near future i only put the important parts

Jiraiya:but naruto's a long ways off, even if you did see fit to give him your necklace

Tsunade:you're one to talk, you've practically crammed him full of power. you even taught him the rasengan

jiraiya:yea and maybe i shouldn't have it just felt like i was teaching minato again and..

tsunade:namikaze minato... the resemblance is undeniable

jiraiya:minato had talent you only see once a decade, at best. he was such a nice kid, yet his guts and desire to succeed were the fiercest i'd ever seen, and in the blink of an eye he was the fourth hokage. i never had kids, so i don't know what its like, but if he'd been my son, i'd have bragged about him all the time

tsunade:hearing you say that...makes me think of how different they are too, if i had to choose i'd say he's much more similar to his mother

Jiraiya:a female ninja of the former whirlpool country

tsunade:yeah....his personality and ninjutsu style are exactly like uzumaki kushina's

jiraiya: that was her name!, i remember with that red hair, the constant jabbering and her tomboyish demeanor, she was just like one of the boys

tsunade:kushina became so beautiful as she grew up...but naruto does look a lot like his father.

Jiraiya:thats why i say i see him in naruto. i have to admit i've come to think of him as my own grandson

ok i apologize for the length of the post but as i said people draw your own conclusions, its clear to me but go ahead

Cool.. Naruto the son of the Fourth Hokage

Nah, I think this one just quite clarify my thought before..
This is the first time I heard the real name of the fourth hokage and his wife though..