The poem recited by Charles (Charles Laughton) and Libby (Vivien Leigh) is "The Green Eye of the Little Yellow God" by John Milton Hayes, written by 1911.
Charles Staggers:
I want to marry you! Will you get that?
Liberty 'Libby':
What!
Charles Staggers:
That's it!
Liberty 'Libby':
Marry you, Joe? Have you gone out of your mind? I mean you had better look in the frying pan, hadn't you?
In the scene where Libby wrecks Charlie's apartment and holds the sewing machine up to throw it, the figure who enters through the door with his back to the camera is clearly a body double for Charles Laughton.
"...and other London Street Entertainers"
English