"horse used for breeding," Old English stod "herd of horses, place where horses are kept for breeding," from Proto-Germanic *stodo (source also of Old Norse stoð, Middle Low German stod, Old High German stuot "herd of horses," German Stute "mare"), from PIE root *sta- "to stand, make or be firm," with derivatives meaning "place or thing that is standing" (source also of Old Church Slavonic stado "herd," Lithuanian stodas "a drove of horses").
Sense of "male horse kept for breeding" is first recorded 1803; meaning "man who is highly active and proficient sexually" is attested from 1895; that of "any young man" is from 1929. Stud-poker (1864) is said to be from stud-horse poker, but that phrase is not found earlier than 1879.
c. 1300, presse, "a crowd, throng, company; crowding and jostling of a throng; a massing together," from Old French presse (n.) "a throng, a crush, a crowd; wine or cheese press" (11c.), from Latin pressare (see press (v.1)). Late Old English had press in the sense of "clothes press," but the Middle English word probably is from French.
The general sense of "instrument or machine by which anything is subjected to pressure" is from late 14c.: "device for pressing cloth," also "device to squeeze juice from grapes, oil from olives, cider from apples, etc." The sense of "urgency, urgent demands of affairs" is from 1640s. Weightlifting sense is from 1908. The basketball defense so called from 1959 (in full-court press).
The specific sense "machine for printing" is from 1530s; this was extended to publishing houses and agencies of producing printed matter collectively by 1570s and to publishing generally (in phrases such as freedom of the press) from c. 1680. This gradually shifted c. 1800-1820 to "the sum total of periodical publishing, newspapers, journalism." The press, meaning "journalists collectively" is attested from 1921 (though superseded by media since the rise of television, etc.).
Press agent, employed to tend to newspaper advertisements and supply news editors with information, is from 1873, originally theatrical; press conference "meeting at which journalists are given the opportunity to question a politician, celebrity, etc.," is attested from 1931, though the thing itself dates to at least World War I. Press secretary is recorded from 1940; press release "official statement offered to a newspaper for publication" is by 1918.
Via the sense "crowd, throng," Middle English in press meant "in public," a coincidental parallel to the modern phrase in the press.
early 14c., pressen, "to clasp, hold in embrace;" mid-14c. "to squeeze out;" also "to cluster, gather in a crowd;" late 14c., "to exert weight or force against, exert pressure," also "assault, assail;" also "forge ahead, push one's way, move forward," from Old French presser "squeeze, press upon; torture" (13c.), from Latin pressare "to press," frequentative formation from pressus, past participle of premere "to press, hold fast, cover, crowd, compress," from PIE root *per- (4) "to strike." Related: Pressed; pressing.
Sense of "to reduce to a particular shape or form by pressure" is from early 15c. Figurative sense is from late 14c. ("to attack"); meaning "to urge, beseech, argue for" is from 1590s. To press the flesh "shake hands" is by 1926.
"force into service," especially military or naval service, 1570s, alteration (by association with press (v.1)) of prest (mid-14c.) "engage by loan, pay in advance," especially in reference to money paid to a soldier or sailor on enlisting, from Latin praestare "to stand out, stand before; fulfill, perform, provide," from prae- "before" (see pre-) + stare "to stand," from PIE root *sta- "to stand, make or be firm." The verb is related to praesto (adv.) "ready, available." Related: Pressed; pressing.