Small Aircraft; Low Wing; 1 Eng; Retractable Gear
Flight Crew Instrument; Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Multiengine
Flight Crew Last 90 Days 200; Flight Crew Total 5800; Flight Crew Type 150
Time Pressure
Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural FAR
Flight Crew Took Evasive Action
Human Factors
At Cleburne Regional Airport it is hard to see traffic on the other end of field due to center of runway being highest elevation. Traffic was a student who was having trouble with communicating. The plane in pattern in front of traffic had to go around due to the traffic in question joining pattern too close behind them. They announced full stop; however; did not announce taxi back. Prior to taking the runway we announced that we were taking the runway for an east departure and had no response from other traffic. Upon reaching rotation speed we crested the hill and saw traffic; we then rotated and veered to the right side of the runway to avoid over flying traffic. Plenty of separation was maintained. Other flight school instructor was in the pattern as well and they verified they did not hear any intentions of back taxi. The plane in question never made another radio call after short final saying they were landing.
Flight Instructor reported a critical ground conflict during takeoff with a non-reporting aircraft on runway at CPT non-towered airport.