She added: “She recognised them immediately and stuck to them like glue.”
Officers discovered Daisy had been rehomed “in good faith” by new owners who had been unaware of the theft.
One of the other stolen dogs was killed after being hit by a car as it tried to escape, officers said.
The two others, Tilly a black working cocker spaniel, and Storm, a patchy white Patterdale terrier, have never been located.
Officers have appealed for anyone with information about their whereabouts to come forward.