no-name adj.

"not in any degree, not at all," Middle English, from Old English na, from ne "not, no" + a "ever." The first element is from Proto-Germanic *ne (source also of Old Norse, Old Frisian, Old High German ne, Gothic ni "not"), from PIE root *ne- "not." Second element is from Proto-Germanic *aiwi-, extended form of PIE root *aiw- "vital force, life, long life, eternity." Ultimately identical to nay, and the differences of use are accidental.

As an adjective, "not any, not one, none" (c. 1200) it is reduced from Old English nan (see none), the final -n omitted first before consonants and then altogether. As an interjection making a negative reply to a statement or question, "not so," early 13c., from the adverb. As a noun, 1580s as "a denial; a negative vote," 1650s as "person who casts a negative vote."

Construction no X, no Y is attested from 1530s (in no peny no pardon). No problem as an interjection of assurance is attested by 1963. No way as a colloquial expression meaning "it can't be done" is attested by 1968 (noway (adv.) "not at all, in no respect, by no means" is from c. 1300). No-knock (adj.) in reference to police raids without permission or warning is by 1970, American English. Phrase no can do "it is not possible" is attested from 1827, a locution of English-speaking Chinese noted 19c. in China, Australia, and the West Coast of the United States.  

We repeated our advice again and again, but got no answer but a loud horse-laugh, and their national maxim of No can do: Europe fashion no do in China. ["Reminiscences of a Voyage to and from China," in Paxton's Horticultural Register, London, 1836]

"word by which a person or thing is denoted," Old English nama, noma "name, reputation," from Proto-Germanic *naman- (source also of Old Saxon namo, Old Frisian nama, Old High German namo, German Name, Middle Dutch name, Dutch naam, Old Norse nafn, Gothic namo "name"), from PIE root *no-men- "name."

Meaning "a famous person" is from 1610s (man of name "man of distinction" is from c. 1400). Meaning "one's reputation, that which is commonly said of a person" is from c. 1300. As a modifier meaning "well-known," it is attested by 1938.

In the name of "in behalf of, by authority of," used in invocations, etc., is by late 14c. Name-day "the day sacred to the saint whose name a person bears" is by 1721. Name brand "product made by a well-known company" is from 1944. Name-dropper "person who seeks to impress others by mentioning well-known persons in a familiar way" is by 1947. Name-child, one named out of regard for another, is attested by 1830. The name of the game "the essential thing or quality" is from 1966; to have one's name in lights "be a famous performer" is by 1908.

"I don't realize yet how fortunate I am. It seems that I have been dreaming. When I see my name in lights in front of the theatre, I think, 'No. It isn't I.' " [Billie Burke interview in "The Theatre Magazine," Nov. 1908]