Sadly, it's absolutely not.
I study medieval culture, from around 1300 to 1500, and I can say with certainty you are wrong.
One of the most commonly reported crimes is infanticide - by girls between the ages of 10 and 18. 
It is absolutely awful. Often these girls were either marriage or engaged. Often, even at age 10, their families had 'married' then to some man, often a man twice their age or more. These girls sometimes killed their babies because they were terrified of the idea of being mothers (at age 10 - who wouldn't be!), or their babies died because, at age 10, their hips were too narrow to allow the birth of a baby.
There are records of girls as young as 8 being married, becoming pregnant, and labouring for days, only to give birth to a stillborn child ... and becoming pregnant again the next year, to go through the whole process again. There are children I have read about who went through this five, ten or more times, and whole eventually did terrible things to their babies or their bodies.
One also finds stores of children who had been told that baby boys were God's way of showing a mother her girl children were a mistake. Sometimes girl children were taught to take care of their baby brothers, and told that their entire worth depended on the wellbeing of the baby boy. Up until the 1970s, there are copious records of girls committing suicide when their baby brothers died of natural causes.
One finds stories, later, of women with what is called 'phossy jaw'. This is a deformation caused by the work these women did in match factories. The phosphorus made their jaw bones row and fall away, and eventually the exposure causes mental illness and death. Women killed their own babies when they saw the (then incurable) signs of the disease, which was excruciatingly painful). They were condemned as mad.
Sorry, I've taken a long time writing this and only covered a couple of examples. But, trust me, there are more. There are thousands. It is awful. There are situations men and women have been put in where they had to make absolutely inhumane choices. We need to have pity for children in this state, not to judge them.