Meaning

Hi

Please help me with this:

Context: From the story The Skylight Room by O.Henry

One day Miss Leeson came hunting for a room. She carried a typewriter made to be lugged around by a much larger lady. She was a very little girl, with eyes and hair that had kept on growing after she had stopped and that always looked as if they were saying: "Goodness me ! Why didn't you keep up with us?"

Mrs. Parker showed her the double parlours. "In this closet," she said, "one could keep a skeleton or anaesthetic or coal "

"But I am neither a doctor nor a dentist," said Miss Leeson, with a shiver.

Mrs. Parker gave her the incredulous, pitying, sneering, icy stare that she kept for those who failed to qualify as doctors or dentists, and led the way to the second floor back.

"Eight dollars?" said Miss Leeson. "Dear me! I'm not Hetty if I do look green. I'm just a poor little working girl. Show me something higher and lower."

My doubt is on the highlighted portion:

I guess she means she wants to be shown an accommodation which is higher, on the third floor or above and is lesser in rent.