Many pages behind because I have just now heard of this arrest on HLN.
That's right. Nothing was mentioned about trespassing onto private property.
IF there were 'No Trespassing' signs in Ms. Sykes yard, driveway, or property, then the other party (Croslins) could be charged with trespassing. Otherwise, no one can be charged with that. Purchasing 'No Trespassing' signs and posting them in a visible place would take care of this. That way, future problems could be avoided.
IF Ms. Sykes had called the police and told the police she did not want these people (Croslins) on her property, the police could make them leave. THEN, IF the Croslins were to come back onto her property, (even before 'no trespassing' signs were placed out) they could be arrested for it. The police, IMO, would advise Ms. Sykes to purchase 'no trespassing' signs.
I have encountered this myself.