I don't think we are looking for Rooks i VDL- if Catherine Rook is relevant, she has become Catherine McNally by the time she gets to VDL.
There are over 30 William Rook references in newspapers ,the earliest in 1805 when he has permission to go southward, then 1813, 1814,1815, 1818,1820,1822,1823 and 1824, on shipsWoodlark, Newcastle, Mnerva, Rosetta, Lynx,and belinda, and 10 times on Elizabeth and Mary. He was also administrator of the estate of William Earl who died on Mcquarie Island in 1812. He was a sealer, usually master- he is the archtype of the Sydney sealers and probably deserves a book of his own- they were sometimes away months, sometimes years eft on an island until the ship returned. Catherine Rook is only mentioned once in the Perseverance record in 1811- I will double check the 1811/1814 musters and HRA on Monday for a futher reference- but if she was still crewing ( I don't think so or she would appear in the papers- some list a crew of up to 34 all by name) then she would be likely to be missed from the Muster.
David