Earlier quoted context omitted.
You don't even need to go to the ancient world to see this. A rudimentary look at genealogy will show you that even in the 19th century. If a child under 2 dies, you'll often see reuse of that name for the next child. There were cultural standards, particularly in Europe, around naming children after paternal and maternal grandparents and so forth (such that often you can tell what number a child was by their name if…
Also, illness and mortality was far more definitive prior to modern medical breakthroughs. Prior to world war 2, getting ill from a wide range of highly deadly or incapacitating diseases (polio for example) was quite common and far more fatal then it is today. The culture around mortality has changed a lot in my opinion.
I think pneumonia, the flu, tuberculosis and diphtheria killed more people than polio (https://www.ncdemography.org/2014/06/16/mortality-and-cause-... doesn’t even mention it)