The 24-year-old slammed a move to allow Aaron Campbell a chance to challenge the sentence for abducting, raping, and murdering the six-year-old
Campbell, 16, was ordered to serve a life sentence for killing Alesha on the Isle of Bute on 2 July last year.
During his trial, Campbell denied meeting Alesha, but before sentencing it emerged he had confessed.
A spokesman for the Scottish Courts and Tribunals Service said three judges would preside over the appeal which is set to heard in Edinburgh on August 7.
Georgina posted a strongly worded Facebook message where she branded Campbell a "rat"and called for justice for her daughter.
She said: "Still livid. Little f***ing runt how much more pain and hurt does this thing have to cause!!
"Wtf is up with our system even allowing that the time of f***ing day.
"Am pretty sure they’ll have read its social enquiry reports and how it’s still getting this far is f***ing beyond me.
"For the first time in 7 years the system was actually doing right by Alesha.
"Didn’t last that did it. Give the rat nothing less and let me at it this time cause I will be ensuring there’s no one sitting in f***ing front of me.
"He shouldn’t even be breathing the same air. Never mind be allowed to go through this croc a f***ing s**t.
Still livid. Little f***ing runt how much more pain and hurt does this thing have to cause
Grieving mum Georgina Lochrane
Georgina also asked Facebook users to upload a picture of her as their profile image.
She added: "Now we need to make a stand and get justice for Alesha."
Alesha was only a few days into her summer holiday when Campbell took her from her bed in the middle of the night.
The child's body was found in the grounds of a former hotel the following morning.
A post-mortem examination later revealed she had suffered 117 injuries.
During his nine-day trial in February, Campbell lodged a special defence naming the 18-year-old girlfriend of Alesha's father as the killer.
Campbell also took the stand and told the jury his DNA must have been planted at the crime scene.
But the prosecution case, built on forensic evidence and CCTV provided by Campbell's mother, was overwhelming.
The jury at the High Court in Glasgow took three hours to unanimously convict the schoolboy.
When he returned to the dock to be sentenced in March, the court heard Campbell had finally admitted the crime.
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