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shortened form of cockroach, 1837, on mistaken notion that it was a compound. In contemporary writing said to be from a polite desire to avoid the sexual connotation in the first syllable. Meaning "butt of a marijuana cigarette" is first recorded 1938, perhaps from resemblance to the insect, but perhaps a different word entirely.
small freshwater fish, c.1200, from Old French roche (13c.), of uncertain origin, perhaps from a Germanic source. Applied to similar-looking fish in North America.
[narcotics sense perhaps fr earlier roach mane, a horse's mane clipped very short and tied; perhaps fr the insect]