They sank down sorrowing, without waiting for it to come in words.

上面：

sink down sorrowing - 這里down是副詞，sorrowing 是目前分詞作作隨著狀語嗎？

They sank down sorrowing, without waiting for it to come in words.

是的。sorrowing 是目前分詞，作“方法或隨著狀語”。sink down 指因疲勞或悲傷“無力地坐下”。