Possible Clues:

• Small cup offered by girl in sanctimonious family
• Listener's commonly getting the shakes in small cup
• Endlessly gripped by terror, say, seeing small vessel?
• Goin' to pieces, say, seeing metal cup
• It's a nuisance hosting new relations, round for the cup
• One full of drink maybe sounded alarm at home
• Almost becoming alarmed, say, in small vessel