As much as it pains me to say it, hsd may be right ;)

The cheshire HER lists 3 barrows; A) that is half under a petrol station, B) with a boat shaped grave (north) and C) with the buried circle (south). It has a reference to a "SHINE protected status" on the north one but neither of the others. However the pastscape record refers to all 3 barrows , giving info on B & C, but crucially no scheduling information. The EH SMR & listed building search returns 14 results for Church Lawton, none of them barrows...