Short answers, pulled from the story.
The Chicago Tigers played only in 1920, the first season of the American Professional Football Association, which became the NFL. They folded between the 1920 and 1921 seasons, making them the first NFL team to disband.
The Chicago Tigers finished the 1920 season with a record of 2 wins, 5 losses, and 1 tie. Their league record against other APFA teams was 1 win, 5 losses, and 1 tie.
The Chicago Tigers played their home games at Cubs Park in Chicago, the venue later renamed Wrigley Field. They were the first NFL team to play there.
Contemporary reports identified the Chicago Tigers as the successors to the Hammond Bobcats, a team that had played in Chicago despite its name. The Tigers dropped the Hammond identity after Alva Young brought a separate Hammond franchise, the Hammond Pros, into the new league.
According to Emil Klosinski's book Pro Football in the Days of Rockne, the Tigers' main offensive weapon was their passing game, built around quarterbacks Johnny Barrett and Milt Ghee throwing to receivers Jack Meagher and Oscar Knop. George Halas was a former Bobcats star who chose to join the Decatur Staleys instead.
The legend holds that Tigers owner Guil Falcon agreed to a winner-take-all game with Cardinals owner Chris O'Brien, and that the Tigers folded after losing 6-3. However, no contemporary evidence supports the challenge, the Tigers played two more league games after that loss, and O'Brien did not object to rival teams playing in Chicago the next season.