Madonna's spokesperson had initially suggested that the singer's horse had been startled by the press during the incident, though one photographer denied these claims.
Sgt Herbert Johnson of Southampton Village Police Department told TMZ: "There is no mention of photographers. It's a matter of spin control that went out of control.
"If they felt there was something else, they would have written 'paparazzi' in the form - if they felt there was a problem."
Official police documents retrieved by the website do not make any mention of the press.