Changes of name aside, it is possible that as a young female ex-con of those times, she got a position as a 'domestic' working for one Samuel BRYAN (Trove, Western Australia, Inquirer and Commercial News 29 Apr 1857) "Married On the 7th instant, by the sub-registrar of the Vasse district, HENRY MASON, mate of the American whaleship "Vesper", to HANNAH BURNHAM, only daughter of Mr. Samual BRYAN, of the Vasse district." If this is a bit of "name washing" to disassociate herself from a convict past; there is a marriage in the same district, Busselton, WA, in 1869 #2958 of a Hannah Burnham MASON to a James Brown TRAVIS. There is a "Hannah Birnum TRAVIS" as WA death 8729 of 1876, in the Vasse district, age 37, no parents cited.
This is a lot of speculation, I know, and the age cited at death would be way incorrect, but maybe the informant at death had no real idea of her age. The person I have cited above is buried at Busselton Pioneer Cemetery.