In 1910, Charles Sr. was listed as 30 years old, married once, for 9 years, and born in LA.

In 1900, I found "a" family headed by Charles and Clara in Ward 2, St. Mary parish, LA. Charles was born in July 1864 (35). They were married for 6 years. Clara had 2 living children, the oldest was her daughter Victoria; the youngest in the household was 'Dora' or 'Isora'??. All were born in Louisiana.
In this census, Charles father's birthplace is "AL".
** There were two 'brothers' listed in the 1900 household - Peter and Richard WILSON (19 and 13). Another surname link?

This is where the trail gets cold. I found 'beacoup' Charley Smiths in 1880 - one was a 15 year old in the houshold of Rose and Henry Smith. Everyone (including parents) was listed as being born in Louisiana - contrary to the 'AL' indication in the 1900 census.
Listed were:
daughters Clarise, Anna and Rosalie and sons Adolphe, Charles (15?) and Gabriel. There is no 'proof' that this is the same Charles Smith as the one in 1900. Location and ages are 'similar', however.

I could not find a Henry and Rose or Charles with any of the 1880 family group (above) in 1870 Louisiana. At least Clarise, Adolphe and Charles would have been born before 1870.

The good news is that Charles and Clara were still alive in 1930. It is quite possible there is a Death Record on file for one or both of them. Do you know if they stayed in Texas?