Hi Doug! I couldn't find the arrival of Catherine in the Bounty Imm. to NSW 1828-1842. However, did find arrivals of other Disneys, ie:
JAMES (22), ELIZABETH (23) and ELIZA(1)aboard the "Commodore Perry" in 1856, AO Reels 2138 and 2473, as well as an ELIZA DISNEY (23) aboard "Tamar" in 1853, AO Reels 2136 and 2465. It is quite possible they were related, as it is an unusual name.
I also picked up the marriage of Catherine and James in 1863, No. 1398. As well as the death of Catherine VINES in 1876, No. 5927 in Dubbo, parents being Edward and Rosan (sic).
Perhaps you have this information? Otherwise, I hope it helps. Marie in Sydney