It's important to be aware that there were exceptions as well.
For example, if a child was born and for some reason not expected to live, the family might very well bypass the "favored" name. This was particularly true in the case of twins. During most of the 1800's, there was no expectation that twins would survive.
Also, if a child with a favored name died prior to adulthood, that name might often be used for a child born later.