Located malpractice/wrongful death cases on district civil search site (also has family, divorce cases); this looks like the upper court (which is the district court in Texas)
http://justice1.dentoncounty.com/PublicAccessDC/Search.aspx?ID=200&RefineSearch=1

Justice of the Peace and County Courts Civil Cases up to $10,000
http://justice1.dentoncounty.com/PublicAccess/Search.aspx?ID=200