# In the window

This was an opening in the wall with a ledge that was wide enough on which a person could sit.

# Eutychus

This is the name of a man.

# who fell into a deep sleep

"who slept soundly" or "who became more and more tired until finally he was sleeping soundly" 

# third story and was picked up dead

"third story; and when they went to pick him up, they found that he was dead"

# third story

This means two floors above the ground floor. If your culture does not count the ground floor, you may state this as the "second story."