Eileen,
As ChristineR says - where did you get the names of
your Joseph Henry SMITH's parents?
Where did you get a precise birthdate for him? Do you have his death certificate? Does this give his age, his birthplace and the names of his parents?
Without some such confirmation, it would be very risky to assume that Joseph Henry SMITH b 1862 in Vic is yours - given that there is what seems to be the death of this Joseph Henry SMITH aged 1 in 1863 in Vic (only 'problem' being that the given name of the mother is listed as Ann on birth entry, and Eliza Ann on death entry).
Here is another Joseph SMITH/Ann LAWSON person for interest/completeness:
*1883 - Elizabeth Ann HENNET, parents Joseph SMITH & Ann LAWSON, died at East Hill, Vic, age 26, 1883, #8040
Working backwards ....
*1879 - Arthur James HENNET born Emer, Vic, father Albert, mother Elizabeth Ann SMITH, 1879 #9062
*1877 - Elizabeth Ann SMITH (born Manchester) married Albert HENNET (born Murrumbidgee) in Vic in 1877 #2070
*1841 - Joseph SMITH married Ann LAWSON, Manchester Cathedral, Lancashire, 31 Jan 1841
(The marriage is also on FreeBMD)
Joseph SMITH is a common name; Ann LAWSON also ...
It really would be helpful if you would tell us what documented information you have about your Joseph Henry SMITH
Regards,
JAP