Separating other email accounts from Gmail

[AC Question]

I've seen this question in several forums but no meaningful answer. I've used Android on Samsung phone for years. Just upgraded to Samsung 7. In the setup, somehow my Earthlink account has been merged into my Gmail. This is unacceptable. I have an Email icon and a Gmail icon. I don't want Gmail to be my method of accessing my Earthlink account. I can't find anyway to delete the Earthlink info from the Gmail setup and the Email account won't accept the Earthlink info, perhaps because it is set up in Gmail. This is been the worst, most time-consuming phone switch I've ever done. I've spent hours on this already and the thing isn't set up right yet. How do I get this configured so it at least works as well as my 4 year old S3?