'As we were spending time with Amiyah (and) beginning to say our goodbyes to her, I received a text message from someone claiming to have Dee's phone,' Mr Windross posted to social media.
'While trying to spend every emotional minute with Amiyah and giving her all of my attention, I'm also responding to someone claiming to have our phone with all the memories of her.
'This person continued to message me into the night while Dee and I were having our final moments with Amiyah.'
Mr Windross contacted police, who investigated the woman who allegedly claimed to have the phone.
A 24-year-old woman was charged with blackmail and will appear at the Ringwood Magistrates' Court later, the Herald Sun reported.
'...It was interrupting my final moments with my dying daughter,' said Jay.
'We cannot begin to explain the hurt and emptiness we are already feeling, but to get this news has just broken us even more. This is not fair.'
Little 11-month-old Amiyah died from an un-diagnosed neurological condition and spent most of her life in hospital battling with her health.