These are a delightful find. 
Used in a French haberdashery shop, they would have stood on the counter and held small items such as lace, hankies, gloves, etc. 
Each drawer pulls out and is a box with a lid, lined with a pretty fabric. One of the boxes has a mark on the fabric lining the lid, which I have shown in the photos. 
Perfect in a sewing room or crafting room. Alternatively fabulous for accessories or jewellery in the bedroom. 
Measurements: 35 x 21 x 50cm high