Sally, according to the census, that would be Live Oak Co, rather than one of the several Live Oaks in other TX Counties.
One Live Oak is in Bell Co, which neighbors Live Oak Co. Just giving you more choices to check out.
The Handbook of TX Online tells of the county after the CW war, including cattle ranching, sheep ranching, the barb wire fencing that put the smaller out of business and the fence cutting wars that drove them to NM.
Fran Bolton