From Nookipedia, the Animal Crossing wiki
The Quaint Painting is a painting available in all games in the Animal Crossing series. The Quaint Painting is a copy of Johannes Vermeer's The Milkmaid, painted around 1657. Despite its title, it depicts a housemaid, who is pouring milk into a Dutch oven. The Milkmaid is currently on display in the Rijksmuseum in Amsterdam.
 Painting Information
*3,920 Bells reflects the price Redd charges for the painting. The actual buy price (if purchased through the catalog) is 1,960 Bells.
In Animal Crossing: New Leaf, if the bonnet on the subject's head is missing, then it is a forgery.