Which preposition to use with runlets

of Occurrences 6%

A runlet of water had been led through a hollow trunk into a troughalso hewn from a logclose by Elspeth's bower, where she could make her toilet unperplexed by other eyes.

down Occurrences 1%

" It is raining mightily; strong, straight, earnest rain, that harshly lashes the meek earth, that sends angry runlets down the gravel walks, that muddies the gold goblets of the closed crocuses.

from Occurrences 1%

There was no sound in the air but the tap of a woodpecker and the trickling of the little runlets from the wet sides.

Which preposition to use with  runlets