Whether he should be hung?
Regardless of how many people get upset about graphic you tube videos we are still a nation or laws and ex post facto criminal penalties are contrary to the U.S. (and likely Texas) Constitutions. What that means in short is that a law must be on the books with an applicable criminal sentence before it can be carried out by the state. The people of the state of Texas apparently have a criminal statute that allows parental discipline as a justification to an assault that doesn't threaten life. Thier elected officials and particularly their attorney general has indicated that spankings with belts are appropriate. The people of Texas and I have this understanding that they don't tell me what to do and I dont tell them what to do. Democracy is not perfect, it especially seems that way when you don't agree with the majority.
Her life clearly was not threatened in the spanking.
Regardless if it didn't fall under the parental justification the statute of limitations for there types of assaults has run.
And even if it hasn't run the death penalty is Consitutionally limited to a small category of crimes (murder,treason etc.) which these types of assaults are not included (even rape isn't included).
Now I suppose you could play the vigilante and murder him but not only could that get you in trouble with the law it also seems like there are so many more worse predators around the nation and world who severely harm children with death, sexual abuse and vicious mayhem who simply have not had there crimes video recorded and posted on youtube.