Does American Independence Day occur during autumn?
Autumn runs from about September 20 to about December 20. American Independence Day is July 4, over two months before autumn begins.
The answer is no.

Is Christmas celebrated during winter?
Winter begins around December 20. Christmas is celebrated on December 25, a few days later.
The answer is yes.

Was only woman to serve as U.S. Speaker of the House alive during the attack on Pearl Harbor?
Nancy Pelosi is the only woman to ever serve as Speaker of the United States House of Representatives. Nancy Pelosi was born on Mar 26, 1940. The attach on Pearl Harbor occurred on December 7, 1941.
The answer is yes.

Would Nancy Pelosi have hypothetically been on same side as Gerald Ford?
Gerald Ford was a Republican and was president from 1974-1977. Nancy Pelosi is the Democratic Speaker of the House. Domestically, Ford was consistently conservative, and led the fight against Johnson's Great Society. Programs of the Great Society included Medicare, and Medicaid. Nancy Pelosi has consistently voted for Medicare and Medicaid.
The answer is no.