Final answer:
Elaine Noble was the only female mayor in Brockton, Massachusetts history. She was the first openly LGBTQ person elected to state office.
Step-by-step explanation:
The only female mayor in Brockton, Massachusetts history was Elaine Noble. She was elected to a seat in the Massachusetts House of Representatives and became the first openly LGBTQ person elected to state office. She won 59% of the vote and was reelected two years later.