I follow the approach of creating libraries for cases like this in my applications, and so far this works pretty well for me.
In this case, I would create a new module, e.g. {ComponentRoot}/lib/user.js which exports a function getFullName(user) or possibly getFullName(firstName, lastName, country), depending the circumstances.
Now it is just a matter of importing the module where you require the functionality, no global functions needed:
import React from 'react'
import {getFullName} from '../lib/user'
const Title = ({user}) =>
<div>
{getFullName(user)}
</div>
We place our library folder on the same level as the components folder etc., but whatever works best for you should do.