The woman, identified in court documents as S.J.B., smothered the baby in 2004 then tried to kill a second child in 2010.
She pleaded guilty to manslaughter, attempted murder and failing to provide the necessities of life and was sentenced to 13 years.
She was also given credit of three years and five months for time already served, leaving her with nine years and seven months behind bars.
The Alberta Court of Appeal, in a two-to-one decision, rejected the Crown's argument that the woman deserved a prison term of 18 years.
The court says while 13 years is at the low end of the range for similar cases, the sentencing judge made no mistakes in his decision.
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