I found this info interesting about the old World Series....check out these formats
Regarding the first part of your question: In 1906 when the Chicago White Sox and Cubs met, the games alternated from one park to the other.
In 1921 and 1922 when the New York Giants and Yankees opposed each other, all the games were played in the Polo Grounds, with the teams alternating as home teams.
In 1923, the games between the Giants and Yankees were played in Yankee Stadium and the Polo Grounds, with the teams again alternating as home teams.
In 1936 and 1937, with the G4ants and Yankees once more opposing each other, the 2-3-2 format was followed In 1936, the Giants were the home team in the first two games. In 1937, the Yankees opened the first two games as the home team.
The 2-3-2 home-and-away format was again used in 1941 (Yankees vs. Brooklyn Dodgers), 1944 (St. Louis Cardinals vs. Browns although all games were played at Sportsman's Park where the Cards and Browns alternated as the home team), 1947, 1949, 1952, 1953, 1955 and 1956 (Yankees vs. Dodgers), 1951 (Yankees vs. Giants), and 2000 (Yankees vs. Mets).
The first World Series of 1903 between the Boston Pilgrims and Pittsburgh Pirates went eight games, with a 3-4-1 format, the Pirates being the home team in the middle four games.
In 1912, the eight games had the Giants as the home team in the opener, the Red Sox the home team in Games 2 and 3, New York at home in Game 4, Boston in Game 5, New York in Game 6, Boston in Games 7 and 8.
In 1919, the World Series tainted by the White Sox gambling scandal, the first two games were played in Cincinnati, the next three in Chicago, then two in Cincinnati, and the final game in Chicago. That Series featured a best-of-nine format.
The World Series was returned to a best-of-seven format in 1922.
An interesting format was followed in 1920 when the first three games were played in Brooklyn and the final four games in Cleveland.