I'm a bit confused on your standing of the Uzumaki. Are you saying they came from Hamura?
Basically yes, since that's what manga facts suggests.
Kaguya had two sons: Hagoromo - Wielder of Rinnegan, and Hamura - Wielder of Byakugan
Hagoromo had two sons: Ashura - the predecessor of Senju, Indra - predecessor of Uchiha. There are not other known clans that descended directly from Hagoromo.
Senju are Distant Blood-Relative to Uzumaki: As there are not other clans that descended from Hagoromo, we must go up at least one level to see if there is another possibility for the Uzumaki to take place.
<< From this part, I can't give you explicit hard proof, because some conjecture takes place. We don't know how much levels we must go up to find the Uzumaki Clan. We only know that Hagoromo has a brother >>
Nearest possibility for the Uzumaki creation: Hamura
He got the Byakugan, so we can infere at some extent that he had a son/daughter which descendants became the Hyuuga Clan (I can't say this being a fact though, because the leaks revealed that Kaguya might be the daughter of an Ootsutsuki and a Hyuuga, which directly indicts that the Hyuuga may also came from another dimension. Anyways, as the leaks still have to be confirmed, I would not treat them as valid source).
As Hamura is the nearest connection to the Senju Clan in the terms of Blood-Relativity, without it being a "lineage" (since the
distant blood-relationship would lose meaning), the logical conclusion is to assume that Hamura also gave birth to the Uzumaki branch.
But this doesn't mean that Hamura had to be the distant blood ancestor. If Hamura didn't give birth to the Uzumaki, in order to mantain the Distant Bloodline relationship, the next common ancestor in the list should be Kaguya's brother/sister (if she had any) or uncle/aunt (if she had any).
Hamura being the ancestor of Uzumaki is not a fact. But its the closest bet, for sure.
Edit:
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Check this out.
The "Person" box has the following Lineage (Direct Blood-relative):
Downwards:
- Person
- Children
- Grand Children
- Great Grand Children
Upwards:
- Person
- Parents
- Grand Parents
- Great Grand Parents
- Great Great Grand Parents
...and all other relationships are known just as Consanguinity (Distant Blood-relatives).
If Hagoromo were "Person":
Parents: Kaguya, ???
Brother/Sister: Hamura
Children: Indra, Ashura
Downwards: Uchiha, Senju
And the Uzumaki are distant blood relative (they might be in any of the other boxes, but as they have some special traits such as their longevity, the best bet is to assume that they also inherited the Shinjuu's Fruit Powers, ergo, they descended from Hamura). Conjecture, but not unsupported.