"When he had dressed, Frodo found that while he slept the Ring had been hung
about his neck on a new chain, light but strong." Many Meetings
I suspect it was done by Gandalf, or possibly Elrond. The book doesn't have
quite the same taboo about touching the Ring that the movies do; Gandalf picked
up the ring from the hearth and handed it to Frodo in Bag End, after
all.
Silverlode
"They looked as he pointed, and before them they could see the stream leaping down to the trough of the valley, and then running on and away into the lower lands, until it was lost in a golden haze."