Born in Bladensburg, Maryland, on May 14, 1785 Taul moved to Kentucky with his parents in 1787. He attended private school. He studied law. He was admitted to the bar in 1801 and commenced practice in Monticello, Kentucky. He served as clerk of Wayne County Courts in 1801. He served as a colonel of Wayne County Volunteers in the War of 1812.
Taul was elected as a Democratic-Republican to the Fourteenth Congress (March 4, 1815 – March 3, 1817). He declined to be a candidate for renomination in 1816. He resumed the practice of law. He moved to Winchester, Tennessee, in 1826 and continued the practice of law. He moved to Mardisville, Alabama, in 1846 and engaged in agricultural pursuits until his death there on May 27, 1850. He was interred on his plantation at Mardisville.