Okay, I think it goes like this...
Commodore Geoffrey Tolwyn commanded the Tiger's Claw before the movie (WCA: Red & Blue), but left to take over the 14th fleet. He was replaced by Captain Jay Sansky who commanded the Tiger's Claw until his death during the movie. He was replaced by Commander Paul Gerald, who was never officially made Captain. Gerald was replaced by Captain Thorn, who commanded the ship early on in WC1. Around the time of WCA Tolwyn took command of the 'Claw personally, accusing Thorn of cowardice (WC3 novel). Tolwyn commanded the 'Claw through the WCA episodes and through the end of WC1. Tolwyn left the 'Claw after the Vega campaign, leaving Colonel Peter Halcyon in command during Thor's Hammer. Captain Thorn was cleared of the charges against him and returned to command the 'Claw when it returned to human space in SM2.