You are searching wrong. Always look for the details!
First all its not early 19th century and certainly not 18th century! Its also not Dutch.
The canvas is not that old! It is made from sack cloth. Artists re-use old canvas because it can be available without paying any cash, something artists are usually very short of. Recycling is nothing new, neither is chucking out stuff that others can use. The name Frank is used in different countries. Other fact is that's impressionist in style, so Id say more early 20th century. This particular combination of landscape, architecture, and clothing, indicates it is not Dutch. The costume of the lady in the back looks like a generic French peasant costume, with a white 'fichu' or kerchief and a white cap with flaps hanging down the sides. This style of dress was still worn in the first half of the twentieth century. That model white cap was also worn in parts of Belgium. But in Belgium white-washed villages are seen in the flat lowlands, not the hills.
My conclusion, it is French, or at least painted in France, in an early twentieth century style, in the early twentieth century. I have a large collection of regional costumes from different countries. I have most publications on Dutch regional dress from Bing & Braet onwards, including some Bing & Braet/Frans Buffa publication original lithographs. I can assure you that from the 19th century till now there are no Dutch caps that look like that. Most white caps were worn over precious metal frames (oorijzers) anyway, you would at least see some gold glistening through the white.
The north of the country, Friesland, Groningen, Drenthe, West Friesland, did have white kerchiefs for sunday dress, often over silk tops, but different caps, and this is nowhere near the flat, green north of The Netherlands.
It is also hard to find yellow stone and white-washed villages with red roofs and pale blue shutters in the few 'hilly' areas. And look at the way the roof of the first house on the left looks. A Dutchman would have repaired that straight away, after all, what would the neighbours think;)!
The combination of the yellow and white houses with pale blue shutters and lovely sloping roofs, the villagers and the landscape, reminds me very much of rural parts of Burgundy. Including the picturesque state of disrepair.
But I can't be 100% certain.
