One of the alias names that the detective names for Baker is Gene Booth. That was the name of the wrestling promoter portrayed by Alan Reed in "The Great Tag Team Match"
Jethro (Max Baer, Jr) tells Jed (Buddy Ebsen) he wants to go to the West Indies, a region of the Caribbean in the North Atlantic, to be a "Double Naught Spy". He says the West Indies are clear on the other side of Kansas City, meaning further away from Beverly Hills. The driving distance from Beverly Hills to Kansas City is about 1,630 miles. The straight line distance from Beverly Hills to the area of the Caribbean is 2,622 miles, or about 1,000 miles further east of Kansas City.