Ancestry/Genealogy

I've seen a lot of this, especially in German families (a large part of Pennsylvania was settled by Germans - half of my Carbaugh ancestors had this going on). It would be even more common if the first "family" has grown up and moved away.

This link describes it fairly well, but does go into the "two children of the same name":

Whenever a duplicate name occurred in these patterns, the next name in the series was used. If a child died in infancy the name was often reused for the next child of the same gender. A rare twist occurred sometimes. A child's name would be reused when a spouse died and the surviving spouse remarried and had more children with the next spouse. I found this happened when a spouse had children in Germany and then his spouse died. He left his children behind in Germany, possibly with the grandparents, and then emigrated to Pennsylvania. Sometime after arrival he remarried and named his eldest son born in Pennsylvania by his new spouse with the same name as the son still living in Germany. This results in two adult children with the same name.