Mom didn't talk to the firemen when they came out, she just observed from her window, so we don't know what was said, or if they left a notice for the neighbors. According to an article in the local paper, the parish is pretty serious about enforcing the ban:
"Although the state burn ban was already in place, Hemphill said a local burn ban was adopted in part because it simplifies the process of issuing tickets to violators. Instead of citing violators on state charges, the parish can charge them for breaking local ordinances and send the violators to the parish’s environmental court. Violators face up to $500 in fines."
IF the neighbors get fined, good for them... that's what they get for not paying attention to the local news! Besides, they haven't cut the grass over there in quite some time, and that makes it possible for a fire to spread faster, especially since no one was out there watching the fire!