Looking for a song titled "Autumn"?

Today I heard an old lady playing a beautiful classic song with a piano. It started slowly and sounded sad / melancholy. In the middle of the song the tempo went faster for around 15-25 seconds and went back slower before the ending.

Right before she left me, I asked her what the title of song and she said "Autumn". I totally forgot to ask her its composer. Tried browsing the internet and only found the similar title by Vivaldi but I knew it was not the same one. I really need to know who its composer is since I've fallen in love with the song.

Any classical music experts here could help me? Thank you.

Of course the first thing that pops into my mind is Vivaldi the Four Seasons the second movement of Autumn, but you say it's not that so. Here's what else I could think off
Amy Marcy Cheney Beach's Four Sketches. The first movement is called In Autumn and at about 25 seconds it speeds up and near the end the tempo decreases, but it's not that beautiful and I can't find it on youtube. (Most likely Canidate)
The other one I can think of is Tchiakovsky's October: Autumn Song from his work the Seasons, but it never speeds up very much.
http://www.youtube.com/watch?v=Y-2OC9ENB...
These were the only two that came to mind. Sorry in advance if I couldn't find it.

Perhaps she wrote it herself. I have heard a few wonderful original compositions in music shops.

Broadway show "titanic" had a song in it called "Autumn"

here's a link to the lyrics
http://www.allmusicals.com/lyrics/titani...
this amazon link has a sound sample
http://www.amazon.com/Titanic-1997-Origi...

hope this is it

Tchaikovsky also has a "seasons" piece but it's not vocal

heeheehee, sorry cant help w your question but the name of the song just happens to be MY name so if you find a link to said song let me know Id love to check it out