I decided to uninstall Capucine's Eye Selection and use Elaborate Eyes instead, however my character was using the 'Solid Red' eyes from the previous mod; So I copied the texture file, opened up Elaborate Eyes in TESCS, and added in the Solid Red eyes as a new addition.

However in-game they appear all googly and wrong, even though all the other eyes work fine. I really don't want to uninstall Elaborate Eyes and go back to using Capucine's, but I want the Solid Red eyes on my character. What can I do?

Okay I figured out that I need to convert the Solid Red eye texture to be compatible with the EE mesh, but I'm stuck on how to do that.

The simple answer is that if you don't already have a quality graphics program and a basic understanding of how to use it, you can't do that. Unless you are willing to put a couple days, minimum, into learning after getting your hands on a program...

There are alternatives. A lot of eye textures have already been cross converted for most of the eye mesh types, you could try to find your eye for EE in an existing mod. If you're using a custom race, you could remove Elaborate Eyes from that race and use the eyes you want, although with the regular races this would mess up other things that EE does.

I found this:

http://www.tesnexus.com/downloads/file.php?id=24171

Hopefully what I'm looking for, yes?

Maybe, sorta. Read the description before use. It requires many resources(not included in the package).