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.
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.
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