I searched the WA BDM website and the only unmade farmer I could find that died in infancy so far is in 1842 who belongs to other parents
WA BDM registry records
Birth
Surname Farmer
Given Names Unamed
Sex F
Father Patrick Farmer
Mother Margaret McDonald
Place of Birth Perth
Year of Birth 1842
Registration District
Registration Number 83
Registration Year 1842
Death
Surname Farmer
Given Names Unamed
Sex
Age
Father
Mother
Place of Death Perth
Year of Death 1842
Registration District
Registration Number 25
Registration Year 1842