Very confusing if you take research by other people as "gospel" without digging up documents
Why is it confusing?
You have information from
Parish Registers and the
Victorian BDM indexes both online and on CD's. Isn't this information satisfactory for you?
Patrick and Anne did not register their children's births. As I wrote previously, some sections of the community considered baptisms sufficient with bothering with the civil registrations and there were often fines for late registrations. I think you are most fortunate to have the parish records. Did you bother to ask for copies of the baptisms in the Parish registers? The parish records should be noted with details as your source for the births of Patrick and Ann's children born at Bendigo. They are primary records and all other references to their ages etc are obviously incorrect.
Bit pointless posting Violet
LODDER's information on the Australian Board as she was born in New Zealand.
Mistranscribed surname

Goodness me Joseph was born 1862

Birth
1891/14212
LOADER Violet Isabella
Father Arthur Robert Ven Mother Mary Jane
Not one of the 20 or so online trees shows Violet
LODDER as one of the number of children born to Arthur and his wife Mary Jane
HALCROW. Arthur [the publican] died in 1911.
Perhaps continue your search for the
LODDER information in New Zealand. If you don't have a subscription to Ancestry then enquire at your local library as many libraries subscribe to the website.
Good luck

.
Cando