Levi F. Bauder was born on January 28, 1840, in Cleveland, Ohio, to Levi Bauder and Eliza Phillips. His father was a cabinet maker and mechanic who owned $3,000 of real estate and $500 of personal property by 1860. He grew up and attended school in Cleveland before spending a year at Oberlin College. By 1860, he was living with his parents in Florence, Ohio.
He enlisted in the Union army on April 22, 1861, and he mustered in as a private in Company B of the 7th Ohio Infantry. The regiment mustered out on June 13, 1861, but he reenlisted a week later and returned to the same company. He was promoted to sergeant on September 30, 1861. The regiment took part in the Battle of Antietam, the Battle of Chancellorsville, the Battle of Gettysburg, the Battle of Missionary Ridge, and the Atlanta campaign. He probably mustered out on July 6, 1864.
Bauder returned to Ohio after the war, and he married Elizabeth Page on September 14, 1864. They had at least six children: Arthur, born around 1865; Frank, born around 1868; Gracie, born around 1869; Walter, born around 1872; Blanche, born around 1875; and Florence, born around 1883. They lived in Cleveland, and he worked as a clerk in a railroad office.
By 1870, he owned $2,000 of real estate and $200 of personal property. He eventually began working as a lawyer, and by 1880, he was serving as county auditor. He also served as secretary of the Soldiers & Sailors Monument Commission and as curator of the Western Reserve Historical Society. He applied for a federal pension in July 1902 and eventually secured one. He died of bronchitis in Cleveland on October 1, 1913.