I think the problem is that these two servers are not in a network - they are cloud servers from separate hosts. I will research how to connect both servers...

Your assumption was correct but I cannot install SQL 2014 on the older server without installing new dot net versions and other changes - which are not worth the time...

Thanks for your help but can you tell me how to access the old database (on my Server 2008R2 machine) from the new server (on a server 2012R2 machine)?

Thanks for your help but if the database to be copied is on the older machine, how would I use the newer PC to copy it?

I am having the same / similar problem:

Trying to use copy database wizard to move a database from an SQL 2008 R2 installation on server 2008 R2 to an SQL...