Laurie, these are gorgeous images!
I hope I won't be regarded as a quibbler, but one thing about the somewhat complex and bemusing terminology:
This bulky end of the moss sporophyt (the moss sporophyt is sometimes also called sporogonium) that contains and sets free the spores, is a sporangium.
In mosses this sporangium is often called the moss spore capsule. So your photos show a moss spore capsule or sporangium.
To be more precise, the last photo depicts the peristom of the moss capsule. Mosses of the genus
Bryum have a peristom of such structure as in in your photo, but I'm not sure if it's safe to say that it's a moss of this genus.
The "sporangiophor" (phorein, Greek: to carry) would be the thin stalk only, that is carrying the capsule/sporangium. In mosses this stalk is often called the seta.
--Betty
