"My elvish name is long and difficult for humans to pronounce."
On Elvish names of the Tongue see p. 268 and note 6.
He called her by her elvish name; And there she halted listening.
He used the elvish name for the poison.
The footnote on Elvish names for Men belongs with the original writing of the manuscript.
No Elvish name is given in the typescript.
Mithril was the Elvish name: the dwarves have a name which they will not tell.
To have an elvish name, and even a possible claim to Elvish blood however remote, seemed to him royalty indeed.
But after Beor all the children of his House bore Elvish names.
The Elvish names of hills and rivers often endured changed only to fit better into Hobbit speech.