The brand of ketchup - or in the case of this bottle, "catchup" - is Libby's.
The battleship in the film is the U.S.S. California (BB-44). Comissioned in 1921 it was the flagship of the Pacific Battle Fleet and was at Pearl Harbor on December 7, 1941. She was damaged and sunk. She was raised in April of 1942, repaired, rebuilt and updated and returned to service in January 1944. Decomissioned in 1947 she was scrapped in 1959.
The 23rd of 220 "Our Gang" shorts released from 1922 to 1944.
When the Pathe Exchange "Our Gang" shorts were sold to television in 1960 as part of the "Mischief Makers" series, this film was re-titled "The Pirates".