Daniel Barnett's wife is listed as Ann Baker in the church register noting their marriage. Her name does not appear in any convict registers or ships indents. The second fleeter Ann Baker/Barker married John Boxley in 1792. Mollie Gillen in The Founders of Australia: A Biographical Dictionary of the First Fleet (1989), p 24 says Baker arrived in New South Wales aboard the Active but her name is not included on the ship's indent.
Daniel and Ann Barnett had a son together and then it seems that Ann either died or left the family home, perhaps even the colony. She is not recorded in any musters or censuses after 1800.
'Barnett, Ann (?–?)', People Australia, National Centre of Biography, Australian National University, https://peopleaustralia.anu.edu.au/biography/barnett-ann-30153/text37428, accessed 10 September 2024.