In Roman mythology, Moneta (Latin Monēta) was a title given to two separate goddesses: the goddess of memory (identified with the Greek goddess Mnemosyne) and an epithet of Juno, called Juno Moneta (Latin Iūno Monēta). The latter's name is source of numerous words in English and the Romance languages, including the word "money".
The goddess Moneta was created largely under the influence of Greek religion as a cognate of Mnemosyne ("Μνημοσύνη"), the goddess of memory and the mother of the Muses. The goddess's name is derived from Latin monēre (which means to remind, warn, or instruct). She is mentioned in a fragment of Livius Andronicus' Latin Odyssey: Nam diva Monetas filia docuit ("since the divine daughter of Moneta has taught...", frg. 21 Büchner), which may be the equivalent of either Od. 8,480-1 or 488.
The epithet Moneta given to Juno more likely derives from the Greek word "moneres" ("μονήρης") and means "alone, unique". By Andronicus' age, the folk-etymology deduction from monēre prevailed, and so he could transform this epithet into a separate goddess, the literary (but not religious) counterpart of Greek Mnemosyne.
Juno Moneta 
Juno Moneta, an epithet of Juno, was the protectress of funds. As such, money in ancient Rome was coined in her temple. The word "moneta" is where we get the words "money", or "monetize", used by writers such as Ovid, Martial, Juvenal, and Cicero. In several modern languages including Russian and Italian, moneta (Spanish moneda) is the word for "coin."
As with the goddess Moneta, Juno Moneta's name is derived either from the Latin monēre, since, as protectress of funds, she "warned" of instability or more likely from the Greek "moneres" meaning "alone, unique", an epithet that every mother has.