Parents of thomas s. cole (1820-1863) married to Matilda Shadowen (Chaudoin)

Question

child was thomas Jackson Cole 1845 - 1914

Answer 1

Is this the same Thomas S. Cole who was born in TN about 1822, married 18 Apr 1843 in Harrison, TX and lived at Blossom Hill, Caddo, Louisana in 1850? 1850 Census 

Household Gender Age Birthplace

Thos S Cole   M      40     Virginia

Matilda Cole    F      25    Arkansas

Elizabeth Cole F       4     Texas

Thos Cole       M       2     Louisiana