mash n.

c. 1500, "thing that mashes," agent noun from mash (v.). Meaning "would-be lady-killer, one whose dress or manners are such as to impress strongly the fancy of susceptible young women" is by 1875, American English, perhaps in use from 1860, probably from mash (v.) on notion either of "pressing one's attentions" or "crushing someone else's emotions" (compare crush (n.)).

He was, to use a Western expression, a 'regular heart-smasher among the women;' and it may not be improper to state, just here, that no one had a more exalted opinion of his capabilities in that line than the aforesaid 'Jo' himself. [Harper's New Monthly Magazine, March 1861]

He had a weakness to be considered a regular masher of female hearts and a very wicked young man with the fair sex generally, but there was not a well-authenticated instance of his ever having broken a heart in his life, nor likely to be one. [Gilbert A. Pierce, "Zachariah, The Congressman," Chicago, 1880]

Also in use in late 19c were mash (n.) "a romantic fixation, a crush" (1882); mash (v.) "excite sentimental admiration" (1882); mash-note "love letter" (1890).

also *meig-, Proto-Indo-European root meaning "to mix." 

It forms all or part of: admix; admixture; immiscible; mash; meddle; medley; melange; melee; mestizo; metis; miscegenation; miscellaneous; miscible; mix; mixo-; mixture; mustang; pell-mell; promiscuous.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit misrah "mixed;" Greek misgein, mignynai "to mix, mix up, mingle; to join, bring together; join (battle); make acquainted with;" Old Church Slavonic mešo, mesiti "to mix," Russian meshat, Lithuanian maišau, maišyti "to mix, mingle," Welsh mysgu "to mix."