Thank you for all your replies. What Delta, SkyTeam.com, and various websites would not/could not explain you guys have. So it is either or and you choose when you make your booking. NOW I understand. I wish Delta/SkyTeam would explain that (if they even know it). Heck they have an entire website, SkyTeam.com, advertising this but no where do they explain it. Now I know.

^^^ And to answer the directly above the reason I would want this credited to Delta is for a few reasons. First, I am based in SLC so the vast majority of times I would fly would be with Delta so I would like status with them. Two, I have an American Express Platinum which gives me a $200 incidental credit with Delta. And three, I was in my Delta account and booked it in my Delta account. That seems the proper place to book and manage a domestic Delta flight.