Just out of curiosity: Is Feynman using 'sleep with' as a euphemism for sex? I'm guessing that, this story being written in the 1940s/50s, pre-sexual revolution, that it is more referring to sleeping with a some low level of intimacy.
Yes and no - in those days they had no heating in winter, so people would "sleep with" one another just to keep warm. But it was considered rude to just snuggle up without asking. Of course sometimes this lead to considerable levels of intimacy.