Final answer:
The quote "I must change names at home, and give the distaff Into my husband's hands" is from the play 'Macbeth' by William Shakespeare, showcasing Lady Macbeth's desire to switch traditional gender roles for power.
Step-by-step explanation:
The literary work in which a character declares, "I must change names at home, and give the distaff Into my husband's hands" is Macbeth by William Shakespeare. This statement reflects the gender dynamics and ambitions of the character Lady Macbeth, who is determined to seize power alongside her husband. The line is indicative of her manipulative and unorthodox approach to gender roles for her time, willing to upset the natural order to achieve her and her husband's goals.