4-H is a US youth organization coordinated through Cooperative Extension programs, built around hands-on "learn by doing" projects in agriculture, livestock care, cooking, and crafts. Its name and pledge reference four personal-development areas: Head, Heart, Hands, and Health.
At a Connecticut fair, a "4-H show" or "4-H exhibits" means youth club members are formally judged on raised livestock, baked goods, or craft projects — it is competitive judging with real placings, not just a kids' activity table.