“Good night,” said Adam.
She did not answer him.
At the top of the first flight he looked back. Her head was raised, and now her chin made a shadow on her throat and her eyes had no pupils.
His room smelled of dust dampened and dried many times. He picked a match from his block and scratched it on the side of the block. He lighted the shank of candle in the japanned candlestick and regarded the bed-as spineless as a hammock and covered with a dirty patchwork quilt, the cotton batting spilling from the edges.
The porch steps complained again, and Adam knew the woman would be standing in her doorway ready to spray inhospitality on the new arrival.
Adam sat down in a straight chair and put his elbows on his knees and supported his chin in his hands. A roomer down the hall began a patient, continuing cough against the quiet night.
(John Steinbeck, East of Eden)
Does the highlighted part mean this boarding house has rooms in the first floor as well as the second; and the roomer is in a room in the first floor? What does the ‘down’ mean?