Children of Alfred POCOCK:
1886 Florence (mmn EVERETT)
1890 Arthur Charles (mmn EVERETT)
1888 Emma Lucy Pugh (mmn EVERETT) - died 1891
1899 Alfred James William (mmn SALTER)
1902 Albert John (mmn SALTER) - died 1905
1905 Eva Alice Mary (mmn SALTER) - died 1905
So Florence and Arthur Charles did not go to Australia with their father.
Can you suggest where I could find Alfred senior on a passenger list for the ship Paparoa?
I had a quick look on Ancestry earlier, but couldn't see it. There is also PROV
https://prov.vic.gov.au/and familysearch has some passenger lists.

Modified to add:
I don't have a subscription to findmypast, but I know in the past I have found more passenger lists on that site. Doing a search there comes up with A POCOCK b1872 and A POCOCK b 1900 arriving Melbourne 1912 - so I assume this is the record you have? The image should be available on findmypast.