Lyric discussion by WeRalmostHome 

Cover art for The Nearing Grave lyrics by Long Distance Calling

Awesome song. Interpret it as rushing to help someone in need/trouble. “Came when I heard you sing” the song is a cry of help. “Weight did not bind me” alludes to the narrator carrying the person in question. “Sound in white rain” I interpret as how they’ve completely tuned out all that’s going on around them and all they can hear are the cries of help.