How to get User meta data on each website

It is like reposting the same question again because i got the same problem which is unresolved in this
my problem here.
My problem details: I am developing a network of websites and need to display each user information on each website. for example.
I need artist1 info on this site.
I need artist2 info on this site.
I need artist3 info on this site.
I don't know what is the user id on that specific website so I need a dynamic method to do that. so please don't suggest to use get_userdata or any other function which use user id to get info. Also i have used the wp_get_current_user() method it wont get what is required in my case.

Thanks in advance, looking forward for a meaningful answer.