Old English feld "plain, pasture, open land, cultivated land" (as opposed to woodland), also "a parcel of land marked off and used for pasture or tillage," probably related to Old English folde "earth, land," from Proto-Germanic *felthan "flat land" (Cognates: Old Saxon and Old Frisian feld "field," Old Saxon folda "earth," Middle Dutch velt, Dutch veld Old High German felt, German Feld "field," but not found originally outside West Germanic; Swedish fält, Danish felt are borrowed from German; Finnish pelto "field" is believed to have been adapted from Proto-Germanic). This is from PIE *pel(e)-tu-, from root *pele- (2) "flat; to spread." The English spelling with -ie- probably is the work of Anglo-French scribes (compare brief, piece).
As "battle-ground," c. 1300. Meaning "sphere or range of any related things" is from mid-14c. Physics sense is from 1845. Collective use for "all engaged in a sport" (or, in horse-racing, all but the favorite) is 1742; play the field "avoid commitment" (1936) is from notion of gamblers betting on other horses than the favorite. Cricket and baseball sense of "ground on which the game is played" is from 1875. Sense of "tract of ground where something is obtained or extracted" is from 1859. As an adjective in Old English combinations, often with a sense of "rural, rustic" (feldcirice "country-church," feldlic "rural"). Of slaves, "assigned to work in the fields" (1817, in field-hand), opposed to house. A field-trial (1865) originally was of hunting dogs; the term was used earlier in reference to crops (1817).
"maker of pots, one whose occupation is the making of earthenware vessels" (they also sometimes doubled as bell-founders), late Old English pottere "potter," reinforced by Old French potier (Anglo-French poter) "potter," both from the root of pot (n.1). As a surname from late 12c. An older Old English word for "potter" was crocwyrhta "crock-wright."
Potter's field "piece of ground reserved as a burying place for friendless paupers, unknown persons, and criminals" (1520s; early 14c. as potter's place) is Biblical (Matthew xxvii.7), a ground where clay suitable for pottery was dug, later purchased by high priests of Jerusalem as a burying ground for strangers, criminals, and the poor. [Purchased with the coins paid to Judas for betraying Jesus; these being considered blood money it was then known in Aramaic as Akeldema, "field of blood."]
The ancient Athenian city cemetery also was a "potterville" (Kerameikos), and there seems to have been an ancient association of potters' workshops with burial places (Argos, Rhodes, etc.; see John H. Oakley (ed.), "Athenian Potters and Painters," vol. III, 2014). Perhaps both were kept away from the inhabited districts for public safety reasons (disease on the one hand and on the other fires sparked by the kilns).