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It was a complete scandal, the child migration schemes, the children were nearly all not orphans, when reaching Australia, they were often used as child slave labor on farms etc, many of them were subjected  to  physical, mental and sexual abuse. 
Maragret Humpries was the first to expose what had happened to many of these children, she was subject to death threats and shots were fired at the house where she was staying.
see https://en.wikipedia.org/wiki/Margaret_Humphreys
see https://en.wikipedia.org/wiki/Home_Children
see https://www.childmigrantstrust.org/

eventually both the Australian and British government apologized for the treatment of these children.


This photo makes me sad to know what faced these children, once  they got to Australia

There are some trees on ancestry that have my Elizabeth Wood on them, and her father. how accurate they are I have no idea, and it may be a large rabbit hole as they might not even be related to your John Wood

 is he this john wood
https://www.wikitree.com/wiki/Wood-114

Cadwallader Edwards



The will of Cadwallader Edwards of Ballyhide, Wexford was proved at the Prerogative Court of Canterbury on 28 Jun 1824
His will is here


https://discovery.nationalarchives.gov.uk/details/r/D167735

In a nutshell he willed the following


Left furniture, plates, etc to wife Elizabeth Camilla

Left his estates to his brother-in-law William Tudor of Tenby, Pembrokeshire and Henry Arthur Esq. of Bally??bin, Wexford. Annuities from this estate would go to his wife and his daughter Elizabeth Camilla. If Camilla died without issue, this would go to his nephew Cadwallader Palmer and his heirs (as long as they took the name and arms of Edwards)

£500 to his sister Elizabeth Palmer

£100 each to his sisters Anne Wilson, Winnifred Wolseley, and Amy Evans
His wife was to continue to reside at Ballyhire
William Tudor and Henry Arthur were the executors.

I am descended from his sister Elizabeth Palmer mentioned in the will and this will began a long line
of men in my family of being Cadwallader Edwards Palmer

The father of this Cadwallader Edwards  and Elizabeth Palmer was also Cadwallader Edwards,  there is a marriage for a Cadwallader Edwards listed in 1768 to Elizabeth or Eliza Donovan, the date fits the place fits, he in turn is speculated to be the son of Cadwallader Paul Edwards. There is good circumstantial evidence for this. And his father was a Henry Edwards, but you guessed it his father was also another Cadwallader Edwards and now we are back to the middle 1600's.

How accurate is all of this, I am not 100% sure, if you want more details of this family
see

https://www.wikitree.com/wiki/Edwards-35316

This is the profile of the Cadwallader Edwards that married  Elizabeth Camilla Tuder in Tenby, Pembrokeshire, Wales on 26 Feb 1811