TOMMY -- Gimme a cake.
MAMMA -- If what? -- If you please .
TOMMY -- O, let up on that Pinafore business; gimme a cake!
["Puck," July 2, 1878]... to put ginger up a horse's fundament, and formerly, as it is said, a live eel, to make him lively and carry his tail well; it is said, a forfeit is incurred by any horse-dealer's servant, who shall shew a horse without first feaguing him. Feague is used, figuratively, for encouraging or spiriting one up.
In Arabye, þei ben clept Gerfauntz; þat is a best pomelee or spotted .. but a lityll more high þan is a stede, But he hath the necke a xxti cubytes long. [Mandeville's Travels, c.1425]
The modern form of the English word is attested by c.1600 and is via French girafe. Replaced earlier camelopard, a compound of camel (for the long neck) and pard (n.1) "leopard" (for the spots).Throughout its whole history the English word is chiefly employed in rhetorical language, in many instances with more or less direct allusion to biblical passages. [OED]
Girl does not go back to any Old English or Old Germanic form. It is part of a large group of Germanic words whose root begins with a g or k and ends in r. The final consonant in girl is a diminutive suffix. The g-r words denote young animals, children, and all kinds of creatures considered immature, worthless, or past their prime.
Another candidate is Old English gierela "garment" (for possible sense evolution in this theory, cf. brat). Like boy, lass, lad it is of obscure origin. "Probably most of them arose as jocular transferred uses of words that had originally different meaning" [OED]. Specific meaning of "female child" is late 14c. Applied to "any young unmarried woman" since mid-15c. Meaning "sweetheart" is from 1640s. Girl next door as a type of unflashy attractiveness is recorded by 1953.
Doris [Day] was a big vocalist even before she hit the movies in 1948. There, as the latest movie colony "girl next door," sunny-faced Doris soon became a leading movie attraction as well as the world's top female recording star. "She's the girl next door, all right," said one Hollywood admirer. "Next door to the bank." ["Life" magazine, Dec. 22, 1958]
Girl Friday is from 1940, a reference to "Robinson Crusoe."