The former site of Rabb Switch is on US 90A west of Sublime, Texas. The new Sublime Baptist Church replaced an older building located nearby. US Geological Survey Geographic Names Information System: Sublime, Texas. Municipalities and communities of Lavaca County, Texas. This populated place also has portions in an adjacent county or counties. 2947889; -96.79750. This article about a location in Lavaca County, Texas. You can help Wikipedia by expanding it. Median Per Capita Income. There is no data.