Based on your post, I've assumed email 1 and email 2 are two different accounts. If this is the case, and your sending to email 1 from (through) email 2 then the account name should be from email 2 and not email 1. Therefore, the smtp, server port, and password would also be set for email 2.
I have everything set up the same except my router has the to and from set to the same email address.