Hi Alicia,
I have a CD recording of the Australian Christmas songs you were looking for. It's called 'An Australian Christmas' and is published by the ABC Classics (Under Capricorn?). It is by the Sydney Philharmonia Motet Choir, Antony Walker conductor. The number on the back is ABC 446 975-2. It has 15 William James/John Wheeler songs grouped in three sets, and also has Five Carols from Quem Quaeritis (?) Then there are 5 more Christmas songs, possibly by Aus. composers as one is Peter Sculthorpe; then it ends with twelve 'Wassails and Lullabies' by Andrew Ford (b. 1957). The booklet has comprehensive notes on the origin of the songs, the director, and the choir, as well as all the lyrics. It was produced in early 1995 but I think I only found it a few years ago, probably in an ABC shop in Melbourne. You may find a copy by contacting the ABC shops. Good luck!