어서 주무시다

sleep in some position (polite)

An "-아서/-어서" clause giving the manner or the preliminary, plus 주무시다, the honorific of 자다 "sleep". It describes how or where someone slept, with respect: sleeping with his head tipped forward at 45 degrees, you slept leaning back, tying something up before sleeping, you're welcome to sleep at our place, came up from the provinces the day before and stayed over. The honorific is why every line is about someone else — you would never use 주무시다 about yourself.

Register: polite, honorific