Why Would You Leave the Rings?

After annie was shot, they abandoned the taxi in calice township with annie shot and dying in the back sea. They stole her handbag, both of their mobile phones and jewelry, everything except annie's rings,. including annie's engagement ring, which was 25 thousand pounds. If it was a murder made to look like a robbery, why would you leave the rings? That seems like a miscalculation. The only thing i can think is that she wouldn't give them up for whatever reason. When they do find them on herings is found under her body, so she's passed out on top of it when she's been shot. And then the other ring is