When did Beethoven write for Eliza?

Answer 1

The score was not published until 1867, 40 years after the composer's death. The discoverer of the piece, Ludwig Nohl, affirmed that the original autographed manuscript was dated 27 April. This manuscript has been lost.

Answer 2

Presumably this is a reference to the piece of music commonly known as Fur Elise.

In 1810, Beethoven composed the Bagatelle in A minor that became known as "Für Elise" for Therese Malfatti. This was the one whom Beethoven was considering marrying at that time, but the marriage never eventuated. There is some question as to whether the name Elise was simply a nickname for Therese, or whether the publisher could not read Beethoven's handwriting.