This type of house plan dates back to the fourteenth century; and the basic plan continued to be used right up to the nineteenth, all over England. It is typical of the kind of farmhouse attached to a small-holding that tended to disappear with Enclosure. A newer, smarter farmhouse was probably built on the enclosed acreage , and this one let out, sometimes being divided up into two or more cottages. Or, as in the case of the village of Uppercross, it might be gussied up for the newly-married son of the local squire.
That's the generality anyway. I don't know this particular house (it's from Geograph, again) but it looks like the kind of farm that was built in the prosperous years after the dissolution of the monasteries. That 'half-hipped' roof is a good style for thatch- it helps the rain run off faster than a gable-end would. The bricks are probably Victorian , though; I can't tell from this photo, but they often are. The wall is local stone - it's known to geologists as Upper Greensand, and the locals usually as Bargate.