'shared origin' is correct and usable in written English.
You could use it when talking about two things that have a common source. For example, you could say, "The English language and French language have a shared origin."
We now know that every atom in existence originated in the heart of an exploding star; everything is connected by this shared origin.
New data showing unexpected similarities between the eyes of a marine worm and those of humans suggest a shared origin.
In genetics discourses this shared origin is enacted as a genetic connection between humans and our ancestors, human as well as non-human.
'Population identities' refers to those elements of individual identity that are based on membership of a group that lays claim to a shared origin.
For one thing, Yang told me, Asian Americans have a (diverse but shared) origin story of immigration, however many generations ago.
Although never united into a single centralised state, the groups retained a degree of emotional attachment based around shared origin myths and cultural practices.
In the monuments and squares of older cities and towns are solemn references to shared origins.
Their somewhat shared origins had, of course, been a crucial factor in their romance.
The shared origins of the two hatreds means that, in the context of the ongoing wars in the Middle East, Islamophobic conspiracies can easily supplant traditional antisemitic rhetoric.
Despite their shared origins in the mouth, the act of speech and the act of eating do not have much in common.
The extraordinary levels of social and economic vulnerability impacting ordinary people from the American midwest to the Middle East have shared origins in the global concentration of wealth and power in fewer hands.
