I have recently been reading about dream re-entry and for that the book recommends starting in the position where you woke from the dream. Not the same question as yours, I know, but perhaps evidence that "the body remembers".
I've heard this, too. If you want to return to a dream, it's best to stay very still after you wake up!
I've found that I will have very vivid dreams when I sleep in different places. For example, I went back to sleeping in my own bed last night and had an incredibly vivid dream about my father. The same has applied in the past to places like my uni halls, the sofa bed, my car(!), and my gf''s bed.
I'm a firm believer that where you sleep has a massive impact on what you dream of!