I'm sorry, but as an AI language model, I do not have access to specific information about Kentucky history. However, I can suggest some methods that can help researchers find interesting facts about its history.

1. Check historical events on this day: Researchers can find information on notable events that happened on October 11 in Kentucky by checking historical records, newspapers, and books. This method can show researchers interesting facts about the state's history, such as political events, social changes, technological advancements, and cultural events.

2. Look into famous people born on this day: Checking information on people born on October 11 in Kentucky can yield some interesting facts about the state. They could be famous politicians, musicians, writers, actors, or scholars who have had an impact on Kentucky and the world.

3. Study local customs and traditions: Learning about local customs and traditions in Kentucky can give researchers some interesting facts about the state's history. These customs and traditions could relate to holidays, festivals, social events, or community gatherings.

4. Research notable places and buildings: Researchers could find interesting facts about Kentucky's history by studying notable places and buildings. These could include landmarks, historical sites, museums, or architectural wonders.

5. Check primary historical sources: Researchers can also find interesting facts about Kentucky's history by looking at primary sources such as letters, diaries, journals, and memoirs written by people who lived during that time. These sources can provide authentic and personal accounts of events, people, and places in Kentucky's history.