It's a little confusing..
My interpretation based on the article:
1. kill lady in hotel
2. stab lady at grocery store
3. park car at hotel
4. steal dead lady's car and drive away
I could be wrong on the order of events. It would be stupid to go back to the Super 8, but they are probably not mental giants...
From the article, they found the lady's body at the hotel after the woman was stabbed. They are phrasing poorly, but the "indentified earlier" means, identified before we wrote this story, not before the woman was stabbed at the grocery store.
I think my timeline will be correct:
1) Stab lady at grocery store
2) drive to hotel, looking for new car
3) murder lady at hotel
4) steal her car.