After our quick descent back to the Kibo Huts, Lastie explaining to the other random guides waiting at the huts (a little anxious about the poor girl on the mountain!) that indeed we were fine, I was just very very slow! The others had rested for a few hours, I had about 30 mins which was long enough to find Charlie and tell him about the hat burial, and catch up with those who were awake!!
We continued to descend for acclimatization purposes and slept at the site of the huts of the Marangu Route. But we were in our tents.
The next morning Charlie (our spokesman, and a fine one!) thanked the guides and porters and they danced and sang for us!!
We had about another 6 hours of hiking back to the park gate ... the weather was nicer and the landscape a bit greener!! We chatted with the 4 other travelers who all appeared much happier and much friendlier after their summit.