Connelly was jailed with her boyfriend Steven Barker and his brother Jason Owen, who were convicted at trial of the same offence.
Barker was jailed for life with a minimum of 10 years for raping a two-year-old girl and given a 12-year term to run concurrently for his "major role" in Peter's death.
Owen was jailed indefinitely with a minimum three-year term but later won an appeal to lower it to a fixed six-year term.
He was freed in August 2011 but was then recalled to prison again in April this year.