Limmie and The Family Cooking were one of those oddities – a US band that did better in the UK. They were definitely middle of the road, easy listening. They were still performing in the UK in the eighties.
They were originally from Canton, Ohio and were a real family, Jimmie, Martha and Limmie Snell. You Can Do Magic is one of those perennial songs which often gets a play today as the backing track for adverts and TV features as has their version of A Walking Miracle. (The Essex orig.)