So....I've been trying not to obsess over sleep since I did with E, and obsessing generally gets you nowhere. I did come across one good piece of advice: don't be a jumpy parent; avoid running to your child the instant she cries; see if the baby can soothe herself first. Apparently if your baby can learn to self-soothe in the first two months, you stand a good chance of avoiding a big, ugly "cry it out" night in your future.
So today I was taking a shower and put Z in her bassinet first. As I was drying off, I heard little cries from the living room. When I got there, she was asleep. I figure this is promising. She has also fallen asleep a few times so far without nursing or motion.