Thanks for sharing that idea! I appreciate what you’re getting at: that basic care (food, clothing) embodies the tenet of equality in socialism. However, the example of a parent feeding a child doesn't quite capture the power-relations, freedoms, and systems aspects of socialism. I don't think we really want to say a master feeding/clothing their slave or a king feeding/clothing a favorite court jester is really "demonstrating socialism". Socialism is about how society as a whole arranges ownership, production, and resource distribution (i.e. collective ownership of the means of production). It's a counter to capitalism.

Parental relationships are, ironically, a special case where limiting freedoms and greater power disparity are justified in most egalitarian systems. We usually don't give children ownership over the means of production.

Good formal description: https://plato.stanford.edu/entries/socialism