There is sort of a path on top of the peaks starting at California Pass, and leading north over Tuttle, then turning northeast towards Houghton. It is mostly class 1 (short sections of class 2), sometimes the path is not visible. There are cairns along the small summits, and great views in all directions.
I did not find any path leading east from Houghton Mountain down to Animas Forks ghost town, but it was not very steep. I descended fast due to rain and lighting.
Thanks for the info! Last time I was over there I actually noticed a little path leading across to the saddle of Tuttle and Houghton. So it would make sense that both those mountains are easily accessible from there. I'll put in the appropriate updates.