1520s, of uncertain origin, perhaps an alteration of French tremouille "mill hopper," in reference to the hopper's constant motion to and fro, from Latin trimodia "vessel containing three modii," from modius, a Roman dry measure, related to modus "measure." Attested earlier in English as a verb (1510s), though this now is obsolete.
c. 1400, funell, fonel, from Old French *founel, apparently a word from a southern French dialect, such as Provençal enfounilh (Weekley calls it "a word from the Southern wine trade"), from Late Latin fundibulum, shortened from Latin infundibulum "a funnel or hopper in a mill," from infundere "pour in," from in- "in" + fundere "to pour" (from nasalized form of PIE root *gheu- "to pour").
Old English leaf "leaf of a plant, foliage; page of a book, sheet of paper," from Proto-Germanic *lauba- (source also of Old Saxon lof, Old Norse lauf, Old Frisian laf, Dutch loof, Old High German loub, German Laub "foliage, leaves," Gothic laufs "leaf, foliage"), perhaps from PIE *leub(h)- "to peel off, strip or break off" ((source also of Old Irish luib, "herb," lub-gort "garden;" Albanian labë "rind, cork;" Lithuanian luba "plank, board;" Russian lob "forehead, brow," Czech leb "skull;" Lithuanian luobas "bast," Latvian luobas "peel," Russian lub "bast;" Old Norse lyf "medicinal herbs," Old English lybb "poison; magic").
Related to lodge and lobby; for another PIE root see folio. Extended late 14c. to very thin sheets of metal (especially gold). Compare Lithuanian lapas "leaf," from a root also in Greek lepos "bark," lepein "to peel off." Also applied to flat and relatively broad surfaces, especially of flexible or mounted attachments; meaning "hinged flap on the side of a table" is from 1550s. To turn over a (new) leaf (1590s; 1570s as turn the leaf) "begin a new and better course of life" is a reference to the book sense. Among insects, leaf-hopper is from 1847; leaf-cutter from 1816.
Old English frogga "frog," a diminutive of frosc, forsc, frox "frog," a common Germanic word but with different formations that are difficult to explain (cognates: Old Norse froskr, Middle Dutch vorsc, German Frosch "frog"), probably literally "hopper" (if from PIE root *preu- "to hop," source also of Sanskrit provate "hops," Russian prygat "to hop, jump"). Watkins calls the Old English -gga an "obscure expressive suffix."
The Latin word for it (rana) is imitative of croaking. Also in Middle English as frok, vrogge, frugge, and with sometimes plural form froggen. Collateral Middle English forms frude, froud are from Old Norse frauðr "frog," and native alternative form frosk "frog" survived in English dialects into the 19c.
I always eat fricasseed frogs regretfully; they remind one so much of miniature human thighs, and make one feel cannibalistic and horrid .... [H. Ellen Browning, "A Girl's Wanderings in Hungary," 1896]
As a British derogatory term for "Frenchman," 1778 (short for frog-eater), but before that (1650s) it meant "Dutch" (from frog-land "marshy land," in reference to their country).
The principal inn on the island of Texel is called the Golden Frog, (de Goude kikker). We may wonder that there are not more examples of this sign in Holland, for there are, without doubt, as many frogs in that country as there are Dutchmen ; and even unto this day it is a mooted point, which of the two nations has more right to the possession of the country ; both however are of a pacific disposition, so that they live on in a perfect entente cordiale. [Larwood and Hotten, "The History of Signboards," 1866]
To have a frog in the throat "be hoarse" is from 1892, from frog as a name for a lump or swelling in the mouth (1650s) or throat infections causing a croaking sound.