late 13c., faute,
"deficiency," from O.Fr. faute (12c.)
"opening, gap; failure, flaw, blemish; lack, deficiency," from V.L. *fallita
"a shortcoming, falling," noun use of fem. pp., from L. falsus
"deceptive, feigned, spurious," pp. of fallere
"deceive, disappoint" (see false).
The -l- was restored 16c., probably in imitation of Latin, but was not pronounced till 18c.
Sense of "physical defect" is from early 14c.;
that of "moral culpability" is first recorded late 14c.
Geological sense is from 1796.
The use in tennis (c.1600) is closer to the etymological sense.
early 13c., "offense, crime, sin," later (late 13c.) "failure, failure to
act," from O.Fr. defaute (12c.)
"fault, defect, failure, culpability, lack, privation," from V.L. *defallita
"a deficiency or failure," pp. of *defallere, from L. de- "away" (see de-) + fallere
"to deceive, to cheat; to put wrong, to lead astray, cause to be mistaken; to escape notice of, be concealed from" (see fail).
The financial sense is first recorded 1858; the computing sense is from 1966.
Wikipedia says
The Oxford English Dictionary dates
this usage to the mid-1960s, as a
variant of the older meaning of "failure in performance".
[bold is mine]
The two words have separate origins, although they may have crossed paths along the way.
Wonder comes from Old English wundrian, the verb form of wundor “marvelous thing, marvel, the object of astonishment,” from Proto-Germanic *wundran (origin unknown). In Middle English, the noun became associated with the emotion of wonder (late 1200s), and the verb had a transitive sense meaning “to inspire curiosity in.”
Wander comes from Old English wandrian “move about aimlessly, wander,” ultimately from Proto-Indo-European *wend- “to turn.” It's related to the verbs wind and wend. This word also became associate with the mind, emotions, affections, etc., in Middle English (c.1400).
Thus, wonder comes from a uniquely Germanic noun, and wander comes from an Indo-European verb, but they both became associated with the mind in Middle English. It's quite common for similar-sounding words to influence each other through confusion and wordplay, so there may be some convergence – you certainly aren't the first person to notice a metaphorical similarity between the two.
Best Answer
Tomorrow comes from the Middle English, from the preposition to + morrow. Morrow, which is an archaic or literary word meaning "the following day," comes from Middle English morwe, from Old English morgen.
Morning has origin from Middle English, from morn. Morn comes from the Old English morgen, of Germanic origin.
At the end, both tomorrow and morning comes from the Old English morgen.