Though it’s seen as a girl name, Molly can actually be gender neutral! I’m non binary, and Molly is my name. Back around the 16th—17th century in Ireland, it was actually used a a boys name too! It switched to a ONLY feminine name around the 20th century. There’s a little history that actually makes Molly a unisex name!
In 2018, 19 is the most common age for an American (U.S.) Molly who is registered female with the Social Security Administration. It is the 396th most common female first name for living U.S. citizens.
― Anonymous User 10/18/2018
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Molly is also a nickname for Margaret but traditionally it's more used as a short for Mary or Marie.
According to an article in The Guardian, Molly is the third most popular name for dogs in the UK in 2014. (The most popular one is Poppy.)
― Anonymous User 12/21/2014
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I had always heard it as a girls name, until last year when my science teacher was a man named Molly. He's Irish and evidently it's been the tradition to name the men in the family Molly for as long as they can remember. I thought this was interesting, and, personally, I think Molly is a very nice name, reminiscent of sweet girls with big blue or brown eyes. Also, in the songs, "Good Golly Miss Molly" (Don't know who wrote it, famous by Creedence Clearwater Revival) and "Across The Great Divide" (The Band).