Recycling...

In my grandmother's family, names were re-used.

For instance, David and Cornelius were each used twice in naming her brothers.
When the first David died in infancy, the name was used again for the next baby boy born in the family.
And like the first David, the first Cornelius died, and when the next boy came along, he was named Cornelius.

I guess you would run out of ideas when you have 16 children...