Looks like sfc to 2000 ft. This is really interesting
http://download.aopa.org/articlefiles/140929notam.pdf
found more from txtopaviation.com
"For those of you who frequent the Houston area, make sure to check your NOTAMs. The Houston Executive Airport (KTME) in Katy recently opened a control tower. The Houston Executive tower information won’t show up on the sectional chart till the new chart comes out in the spring. The only way to get the information about the tower and the airspace will be via NOTAMs or when the new Airport/Facilities Directory comes out on November 3rd. The tower opened October 1st.
According to AOPA, the airspace will remain Class G around the airport, even though there is a control tower in place. Since the Houston Executive tower is there, it will be mandatory to contact the tower when passing through the airspace. KTME’s airspace stretches up to 2,000 feet MSL and goes out to a 4 sm radius around the airport. It is a VFR Only tower, so the controllers do not have radar.
The tower is open from 6am-10pm, local time, 7 days a week."