I don’t know if Tolkein knew that beautiful poem, but he sure knew Melian:
She is a Maia of the race of the Ainur, akin to Yavanna. Before the First Age, in the Years of the Trees, she leaves the gardens of Lórien and goes to Middle-earth, and there she falls in love with the Elven-king Elu Thingol, King Greymantle, and with him rules the kingdom of Doriath. She has a child with Thingol, a daughter named Lúthien, said to be the fairest and most beautiful of all the Children of Ilúvatar. Melian’s line of descent is the half-elven.
All completely true, of course! ;o)
Oh, I recognized your name right away. For bio and pics, read the Silmarllion. ;-)
And Lúthien was Tolkien’s pet name for his wife (trust them to have pet names with a back story). It’s on their tombstone.