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You could sell it at a car boot sale, an antique shop or an auction, it's up to you.
Antique dolls can be sold in a variety of places, either online or offline. Online auction sites offer a good place to sell as items can be categorized and easily found by niche groups and hobbyists. One could also set up a market stall in a popular indoor or outdoor market.
Check these sites that sell antique tractors on auction in NC, everyday. You can find Classifieds on sale/ purchase of tractors at the link:http://www.ytmag.com/cgi-bin/clasquery.pl
You can easily sell these at your local coin shop or on an online auction site such as ebay.
In an auction house.
You can put it on eBay or put it in for auction at an auction house
Amazon has a wide variety of sellers who sell their porcelain dolls online. You can also find many at your local antique shop.
There are many places to find vintage dolls. One can look in online auctions, flea markets, second hand stores or antique shops. Many local shops may also sell these dolls. A simple web search using the term "antique dolls" and your location can lead to a number of such shops.
eBay or auction house
Dolls are a lovely thing to have around if you are looking for something to remind you of your childhood or even heritage. I would suggest snooping around antique stores first. Maybe you'd have some luck at the nearby garage sales too.
Auction it at an auction house. If the painting is a good one, a better auction house should fetch a better price.
Selling antique silver can be done through reputable dealers, auction houses, or online platforms, with potential for reaching a wider audience through local shops and marketplaces.