to fly on a crane to the Western Paradise (literal mythological or religious origin)

传说中，得道成仙者会驾鹤西去，进入极乐世界。

to pass away (idiom); a poetic or polite euphemism for death

惊闻德高望重的老先生已于昨日驾鹤西去，亲友们都深感悲痛。