For most of their history, they played at Oiler Park, which opened on July 11, 1934, and was located on the Tulsa County Fairgrounds at 15th Street and Sandusky Avenue.

Under managers Frank Smith and Bill Rupp, the Oilers finished the 1906 season with a 45–42 record.

However, in 1914 they rejoined the Western Association, leading the league with a 74–49 record under manager Howard Price.

[citation needed] From 1922 to 1924, Oilers star Lyman Lamb hit 68, 71 and 100 doubles, respectively – the latter of which is a minor league record.

The team opted to move Topeka, Kansas for a spell while plans for a replacement were drawn up.

In 1961, the team was nearly moved to Albuquerque partly due to the stadium's poor state of repair, but A. Ray Smith bought out the previous owner and heavily renovated the park, renaming it Oiler Park.

In their first year, they won the Eastern Division, then lost the championship series to the Seattle Angels, 4 games to 3.

[citation needed] During their final eight years of existence, the Oilers were members of the American Association.

In 1973, the Oilers led the West Division, then won the league playoff 4 games to 3 over the Iowa Oaks.

The Oilers went on to play in the 1973 Junior World Series, where they lost 4 games to 1 to the Pawtucket Red Sox.

[citation needed] The Oilers repeated as league champions in 1974, again winning the West Division and then beating the Indianapolis Indians 4 games to 3.

Smith had poured significant resources into keeping the park at something approaching Triple-A standards.