I don’t think history supports this thesis. Most children went away to the cities or other countries or even other continents. Maybe if you where one of the fewer and fewer people who still had a farm you might have one child taking it over, but if you were born in a city then that’s obviously not possible.
I guess it might be possible you moved to where one of your children lived, if you even knew where they ended up.
You are describing last 100 years of US history and it is not "most of the history". What you are describing was still not prevalent through the world like 50 years ago.
This is very very recent North America-and-other-settler-colony history. Even today, most Americans live within 20 miles of their parents. Most people don't live in different settlements to their parents, let alone cities, let alone countries, _let alone_ continents.
I guess it might be possible you moved to where one of your children lived, if you even knew where they ended up.