I have just come in on this discussion. I understand you are seeking the arrival of a Jane Huxley in NSW
I looked at some arrivals on the Neptune in 27 Sep 1839 on which some of my relatives (Baileys) arrived)
Included on this passenger list is the arrival of
Huxley William 37 with wife and family, Farm Labourer, Engaged by Mr Alexander Berry Shoalhaven
Harriet 32 with husband and family, nee Coachman
William 14 with parents
Anne 11 with parents
Samuel 7 with parents
George  4 with parents
Jane 1 with parents
Huxley Robert  29 Labourer, Engaged by Mr Alexander Berry Shoalhaven
I wondered without proof that this may be the same Jane who married Thomas Mawle. Marriage in the same area of NSW. Maybe worth investigating
Hope it helps
Pam