I am the webmaster for a number of youth sports and school
organizations.  The question of posting a minor's name, without their
parent's written consent keeps coming up.  Is there a legal
restriction on using a minor's name on the internet which differs from
using a minor's name in a hardcopy publication such as the local paper
or the school newsletter?

Possibly the answer would vary depending on what  country they are from.

The question applies to the United States and United States Law