There was some confusion when Moore said Wednesday he was fined for a helmet-to-helmet hit that did not draw a penalty.
Moore had four tackles and an interception in the loss.
Jones said Wednesday he will appeal, hoping to reduce the penalty.
Jones was flagged for unnecessary roughness in last week's 17-14 win over Denver. He had an open path to Orton and hit the quarterback just after Orton threw a pass. But Jones' face mask hit Orton in the head, drawing a 15-yard penalty.
Tennessee tight end Daniel Graham also was fined $5,000 for throwing the ball into the stands after catching the game-winning touchdown, the Tennesseean reported.
Taylor was notified Wednesday by the league of the penalty, assessed for hitting a sliding Henne in the fourth quarter of Cleveland's 17-16 win. Henne scrambled for six yards and hit the ground before he was struck by Taylor, who received a 15-yard personal foul for unnecessary roughness.
Taylor will appeal the fine.
The Browns drafted Taylor with the No. 21 overall pick in this year's draft. Through three games, he has 18 tackles and one sack.
The Associated Press contributed to this report.