Both the examples you've given support this definition from Wiktionary
Noun
verballing (uncountable)
1.The putting of damaging remarks into the mouths of suspects during police
interrogation
In the Leake case, Dawkins insists that Leake put words into his mouth, i.e. misquoted him greatly.
I wonder if this has originated or is common usage in Australia as you've given an SMH(Sydney Morning Herald) example and another example I find here which states
The next day Labor's John Faulkner
takes Costello's words and puts them
in Howard's mouth
and more examples here and here from Australian media articles. One of them defines it thus
Here in the free world we have strong
laws to protect criminal suspects from
confessions which are obtained by
‘verballing‘ that is, off-the-record
threats, intimidation or physical
violence being used by the police to
elicit incriminating statements from a
suspect.