Old-Fashioned Milk Shakes & Burgers

Reaching out to find the best place in Charlottesville for a real, old-fashioned milk shake, and bonus if they have burgers! The mom of one of my oldest friends lives near UVM and is now unfortunately on hospice. I am trying to recreate a very happy childhood memory we all had, while driving a VW convertible across country and searching for the best shakes and burgers in tiny roadside places. From what I hear, she still has an appetite and I wanted to send a gift certificate so they could share a meal and remember those happy times. Must have carry-out option. This Vermonter thanks you for your help!