The village referred to the notion that children were viewed as important to the whole. The whole country, the whole province, the whole village, the whole neighbourhood, the whole family. Everyone cared about and contributed to the raising of children. In my childhood -- and at this point the village was already declining -- I had a number of friend families that were like second, third and fourth families where I could stayover for dinner whenever I wanted, they watched out for me, etc. There were many times where I spent nights at aunts with my cousins, or at grandparents.
Culturally this is far less common. We all move hundreds of kilometers apart. Sometimes for careers, more often because you're a loser if you stay near where you grew up. Many/most younger people have little relation with cousins or aunts or uncles. Grandparents now move to Arizona and ask for pictures occasionally. People have an antagonistic attitude towards other people's kids as a selfish trifle that are just a nuisance for everyone else.
No, hiring a nanny isn't equivalent and doesn't invalidate this.