Kellogg was born in Manlius Square, New York in 1814.

[1] He painted primarily portraits, figures and landscapes.

His personal art collection included works attributed to Leonardo da Vinci and Raphael.

[1] His archives are held in the collections of the University of Texas at Austin and the Indiana Historical Society.

[3][4] In 1851 he was elected into the National Academy of Design as an Honorary Academician.