Did Galadrial do it?

'If only the Lady could see us or hear us, I'd say to her: "Your Ladyship, all we want is light and water: just clean water and plain daylight, better than any jewels, begging your pardon." But it's a long way to Lorien.'

Very shortly after Sam said that a few of the clouds in the South cleared away, showing them a little daylight, and they found a teeny little stream. Did Galadriel's power reach that far or is it a coincidence?