Kroger Anchored Retail Space - Thompson Square Shopping Center – Barnes Crossing Road, Tupelo, MS. Retail space +/-2800 SF and divisible. This high-traffic retail shopping center is home to Kroger, Barnes Crossing Ford, Chick-Fil-A, and other retail stores. It is directly across from the Mall at Barnes Crossing. It is conveniently located to HWY 45 in Tupelo.