Sorry but that is incorrect.
Arthur Walter MUNN was registered a Arthur Walter BYE and Arthur Walter GARBETT mother Emily GARBUTT and NO FATHER stated.
Name: Arth Walt Garbett
Father's Name: Garbett
Mother's Name: Emily Garbett
Birth Place: Mildura, Victoria
Registration Year: 1901
Registration Place: Victoria
Registration Number: 13019R
Name: Arth Walt Bye
Mother: Emily Garsett
Birth: 1901 - Mildura, Victoria
Registration Number: 13019R
Arthur Walter lived with Emily and in later life Emily lived with Arthur Walter and his wife. They moved from VIC and travelled around NSW (together) until Emily's death in 1955.
Arthur was always listed as Arthur Walter MUNN and if you check the electoral rolls it appears they lived with (or atleast in the same street) as Walter MUNN, his father.
It appears from newspaper notices that Robert BYE was in Western Australia as early as 1896.
Kellie