Final answer:
The question refers to a play called 'Trifles' by Susan Glaspell but the specific characters mentioned, 'deputy of the house' and 'head of cleanliness', do not exist in the play.
Step-by-step explanation:
The question likely references a play called 'Trifles' by Susan Glaspell, so the 'deputy of the house' mentioned could be a character from the play. However, there is no specific character called the 'deputy of the house' in 'Trifles'. As for the 'head of cleanliness', there is no specific character mentioned in the play with that title either. Therefore, it seems that the question may be a bit confusing or unclear. Can you provide any additional information or context to help me better understand what you are asking?