Note: This video is extremely disturbing.
The Houston Press writes up the video, which is from 2004 and features Aransas County (Texas) Judge William Adams beating his daughter, this way:
Someone who says she is the daughter of Judge William Adams posted the 2004 video only recently. The hard-to-take clip shows a man whipping her with a belt because she was [illegally] downloading music from the net.
"Bend over the fucking bed!!" he screams as he belts her while she tries to squirm away. At another point he threatens to hit her "in your fucking face."...
The YouTube page for the video is at a channel called shoehedgie that features a total of six videos.
The text that accompanies the beating video (which was uploaded on October 27, 2011) reads:
2004: Aransas County Court-At-Law Judge William Adams took a belt to his own teenage daughter as punishment for using the internet to acquire music and games that were unavailable for legal purchase at the time. She has had ataxic cerebral palsy from birth that led her to a passion for technology, which was strictly forbidden by her father's backwards views. The judge's wife was emotionally abused herself and was severely manipulated into assisting the beating and should not be blamed for any content in this video. The judge's wife has since left the marriage due to the abuse, which continues to this day, and has sincerely apologized and repented for her part and for allowing such a thing, long before this video was even revealed to exist. Judge William Adams is not fit to be anywhere near the law system if he can't even exercise fit judgement as a parent himself. Do not allow this man to ever be re-elected again. His "judgement" is a giant farce. Signed, Hillary Adams, his daughter.
The website for KRISTV in Corpus Christi reports that Judge Adams has admitted to being the figure in the video but says "It's not as bad as it looks on tape." More here.