In the second book of the fellowship of the ring, while the fellowship rest next to the river Nimrodel, Legolas sings a song. He sings about the maiden Nimrodel and her lover, the Elven-king Amroth.

“… and [Nimrodel] was lost far in the South, in the passes of the White Mountains; and she came not to the ship where Amroth her lover waited for her.”

We know that the Elves of Lórien set sail in the Bay of Belfalas:

“… and Anduin flows into the Bay of Belfalas whence the Elves of Lórien set sail.”

The city Dol Amroth also lies in the Bay of Belfalas. As far as I know it is a city of Men.

But is there a connection between the Elven-king Amroth and the city Dol Amroth. Because I can hardly believe that it’s a coincidence that they have the same name. I hope some of you can answer my question. Thank you in advance!