Division 1 and Division 2? Absolutely won't work. This is the age of political correctness.
"2" implies a "lesser" division than "1"
Each division name must have the same number of letters.
One name cannot start with a letter further down on the alphabet than another - hence each must start with the same letter.
Care must be taken to not disrespect any aspect of Title IX.
A thorough search of the meaning and etymology of the words for the names must be researched by a team of academics so that one (or both divisions are not offended)
The academics must be well represented by all minorities, ethnic groups, and sexual preferences.
Lawyers must review the final selections to minimize the threat of lawsuits.
Hey! It's not easy anymore to pick names.