Possible Clues:

• Franchised supermarket brand
• Swiatek who was the first Polish tennis player to win a major singles title
• Big grocery store chain
• Supermarket chain with Chicago H.Q.
• Grocery Co.
• Supermarket chain founded in Poughkeepsie, N.Y.
• "Hometown Proud" food market chain
• Supermarket chain with the slogan 'Hometown Proud'
• Grocers' org.
• Food store chain inits.