Weep you no more, sad fountains

Here’s another poem from Sense and Sensibility. The words are of unknown origin, but John Dowland set them to lute music in the early 17th century. In the film, Marianne sings them to music written by Patrick Doyle.
Weep you no more, sad fountains;
What need you flow so fast?
Look how the snowy mountains
Heaven’s sun doth gently waste.
But my sun’s heavenly eyes
View not your weeping,
That now lies sleeping
Softly, now softly lies
Sleeping.
Sleep is a reconciling,
A rest that peace begets:
Doth not the sun rise smiling
When fair at even he sets?
Rest you then, rest, sad eyes,
Melt not in weeping,
While she lies sleeping
Softly, now softly lies
Sleeping.