While Lorelai is visiting her parents in Hartford to ask them for money, she says that she just finished her business class. Later we learn that as well as working full-time, Lorelai also attends community college in Hartford two evenings a week to study business.
In real life, there is only one community college in Hartford – Capital Community College. This college offers a 4-semester associate degree in Management (Entrepreneurship), suitable for those wanting to improve their work qualifications, or equip them to start their own business. It sounds ideal for Lorelai’s needs.