In January, 1850, Speaker Harrison G. Blake resigned, and Convers was chosen as his replacement.

[2] In 1851, when Ohio Supreme Court seats first became elective, Convers was unsuccessful as a Whig nominee.

[1] In 1855, the Republican State Convention nominated him for Judge of the Ohio Supreme Court.

[5] He served only a short time before resigning due to poor health.

[1] Convers helped found Woodlawn Cemetery in Zanesville, where he is buried.