Here is an excerpt from another news source which gives more on the circumstances surrounding the problem. From the aerial view it looks like the crash was abeam the end of the runway as if it were on downwind.
"The plane attempted a crash landing at the airport after a distress
call was made, according to reporter Stephanie Robusto. The plane
crashed less than a mile from the runway.
The NTSB said there was not any communication between those on board
with an official agency just before the crash, but there was
communication between those on board with someone else through a cell
phone speaking about problems with the plane.
The plane took off from Darlington County and attempted to land at
the Hartsville airport, said Darlington County Sheriff Wayne Byrd. The
plane was apparently having mechanical difficulties with its landing
gear, and went down about 50 feet from homes in the Fox Hollow
subdivision."