From the Buffalo Spectator, Anti-Slavery Movements in Illinois. Juliet, Williams County, April 29, 1837. Dear Sir.—According to a resolution passed at the meei ng, I send you an account of the formation of the Anti- Slavery Society in this place. The friends of the cause few, but we feel great confidence in our principles and in their ultimate success, and are encouraged by our ef forts. We circulated a petition to Congress last fall, who was signed by one hundred and fifty citizens of this town and vicinity. Our society numbers thirty members at pre sent. We are expecting a large increase soon. The following are the officers of the society, viz: Elias Havens, Esq., President; Dr. A. M.Comstock,, Vice President; Dr. R. E. W. Adams, Secretary; Reed, Treasurer; James M’Kee, J. H. Prentiss, D. L .Roberts, J. Beaumont, Directors; R. E. W. Adams, Secretary,