Nico, thanks for the reply. I hope you will continue to answer some questions. Your writing could help other hikers on Whitney.
Did your group go up the Main Trail, or up the Mountaineers Route?
Would also like to know... when did the group split apart?
I am having difficulty understanding the N-S-E-W directions. Lone Pine is East of Mt Whitney, so being on the east side means you were descending in the right direction. Arctic Lake is on the north side, Guitar Lake and the ranger station area is west of Mt Whitney.