The company said the Marlin-1 well would join the YPU-1, Rocket-2 and Jet-3 wells as a gas producer.
Last month, Burleson increased its stake in the Marlin-1 well to a working interest of 29.7% and net revenue interest of 23%.
Spudded on New Years Day, the well was drilled to a total depth of 19.696 feet - including 5090ft of horizontal section through the Austin Chalk reservoir.
Looking ahead, Burleson hopes to take advantage of high oil prices, by drilling and working over wells that have oil/condensate and gas potential, rather than just gas.
"Thus activity will move for a period to the Burleson County and away from the Champions area," the company said.
"A drilling plan is being formulated and a smaller rig is being sourced for this work. Champions area drilling is expected to recommence later in the year."