Starve-acre

Some sandy soils are much overrun with the wild radish (Raphanus raphanistrum), provincially called " rump," while the clays are swarmed with starve-acre (Ranunculus arvensis), and the clivers or burrs (Galium aparine), which are very troublesome to separate from the grain when winnowed.

Source: wiktionary

It seems that a particularly tiresome form of rauunculus, well described by the nickname of “starve-acre," can be cxterminated with dressings of sulphate of ammonia, and that this method is equally efficacious in ridding land of the picturesque but unprofitable poppy. Where there is more starve-acre than grass, the farmer pays twice his nominal rent, and is otherwise wasting money by growing weeds on his pasture.

Source: wiktionary

It is quite common for farmers to use cereal grains for seed which contain weed seeds, e.g. starve-acre (ranunculus arvensis), docks, wild oats, rye-like brome (bromus secolinus), etc.

Source: wiktionary

There was no exaggeration in Marian's definition of Flintcomb-Ash farm as a starve-acre place.

Source: wiktionary