Anthony Ayers had a hunch that he’d found a masterpiece. While vacationing in the English countryside in 1995, Mr. Ayers spotted a dusty, wood-panel painting tucked behind an armoire in an antique shop. It depicts Mary holding an infant Jesus in her lap as her older cousin Elizabeth and a toddler John the Baptist look on lovingly; the backdrop features an oak tree with a goldfinch, an ancient symbol foreshadowing the Crucifixion.