She wrote: "Whoever thought it was funny to parasail over the village, it was in extremely poor taste.
"Take your twisted hatred somewhere else.
"There was two parachutes with engines like Hamas used at that festival, gave me a fright."
The woman, who has not been named, was reassured by other users in the group who told her that the local paragliding club regularly flies over the area, usually on weekends.
Local paragliding group AXB paramotoring confirmed to the JC that they were responsible fo the incursion over the village, describing the fuss over it as "silly."
Paul Haxby, who has been flying motorised gliders in the area since 1991, told the JC that his organisation has no sympathies with Hamas and that the reaction was unjustified.
He said: "If there had a been a car bombing, would this woman be scared of every car she saw?
"We will keep flying, this hasn't put us off."
Haxby also mentioned that he'd been to Israel several times on paramotoring trips and is in contact with Israelis operating similar crafts.