What's the name of the song that Kate Winslet sings while she's on the piano in "Sense and Sensibility?"

Question

It's a rather sad song and Emma Thompson's character notes that it was their father's favorite song. I can't think of the name or composer or anything. Help!

Answer 1

I think it is the 2nd one but wouldn't swear to it, but should be one or the other.
Weep You No More Sad Fountains"
Music by Patrick Doyle
text anonymous

"The Dreame"
Music by Patrick Doyle
text by Ben Jonson
End title performance by Jane Eaglen
Courtesy of SONY CLASSICAL