Thanks Irish!
This is actually a question on the 2012 Umpire Softball Exam. There is no reference to this question in the rule book. I looked under Rule 3, Section 6 and only states "Coaches, players and team rep shall not display the names and/or logos of any other softball association on their uniforms.
Common sense tells me that the player must change the uniform top even if the logo is covered versus continue playing if the logo is covered?
Would you agree?