305 Estill Street Berea, KY 40403. 859.986.6555 Saint Joseph Hospital, Saint Joseph East and Saint Joseph Jessamine. Attn: Medical Records. One Saint Joseph Drive Lexington, KY 40504. 859.313.1000 Saint Joseph London. Attn: Medical Records. 1001 Saint Joseph Lane London, KY 40741. 606.330.6678 Saint Joseph Mount Sterling. Attn: Medical Records.