It could be a long - lost relative of Hashirama. Maybe a distant cousin or a descendant from a hidden branch of the Senju family. This character would carry the bloodline of Hashirama and thus have the potential to inherit his powers.
It might be a fanfiction that focuses on a new character who is the heir of a ninja clan that has suffered many deaths. This heir then has to face the challenges of restoring the clan's glory while also dealing with the memories and responsibilities related to the deaths of their predecessors. For example, they might have to uncover secrets about how their clan members died and take revenge or make amends in some way.
I'm not sure specifically as there could be many interpretations in different fanfictions. It might be about Naruto having some sort of connection to the McDowell family or inheriting something related to them. But without reading the actual fanfiction, it's hard to say for sure.
I'm not entirely sure as I haven't read this specific fanfiction. But generally, it might combine the Naruto universe with the concept of being the heir of Ravenclaw from the Harry Potter world. It could involve Naruto having some of the traits associated with Ravenclaw, like intelligence and a thirst for knowledge, and perhaps using those in his ninja adventures in some unique ways.
One possible fanfiction could be about the Senju Clan heir rediscovering long - lost jutsu. Maybe the heir, after years of the clan being in the shadows, stumbles upon an ancient scroll that reveals a powerful earth - based jutsu that was unique to the Senju. They then have to train in secret to master it, all while dealing with the pressure of being the heir and the expectations that come with it.
Well, it could have a plot where the protagonist, as the heir of Madara, tries to reshape the ninja world according to Madara's unfulfilled ideals. Maybe they strive to unite all the ninja clans under a new order.
In some fanfictions, Naruto can be depicted as Kaguya's heir. Fanfiction allows for a great deal of creative freedom, so authors might create a storyline where Naruto has some connection to Kaguya that makes him her heir. This could be based on new powers or abilities that Naruto discovers which are related to Kaguya's in some way.
In 'naruto heir of chaos fanfiction', perhaps Naruto discovers he is the heir of chaos in a rather unexpected way. This new status might put him at odds with some of the traditional ninja values in his village. He may need to find a balance between his new chaotic powers and his role as a ninja. It could also involve a journey where he meets others who have some knowledge about this chaos heritage and they help or hinder him in his quest to understand and control it.
Yes, in some fanfictions Naruto is depicted as the Kyuubi's heir. This often gives him unique powers and a special connection to the nine - tailed fox. It allows for interesting plot developments where Naruto can access Kyuubi's power in new and different ways compared to the original story.
In this fanfiction, the plot might involve Naruto being the heir of Kaguya because of some ancient prophecy or a hidden bloodline connection. He could then be hunted by those who fear his potential power. Naruto would have to fight against these enemies while also trying to understand the true nature of his inheritance. He might also uncover secrets about the origin of chakra that were related to Kaguya, which could change the whole understanding of the ninja world.