Moss IDs please

My darling daughter decided that I wanted a bonsai, so on my birthday, guess what I got. OK. So I now had something new to learn about.
When it arrived the chinese elm was growing in coir peat - yuck!! (Have to repot) - in a small plastic training pot(?), in a chinese style outer container (undrained).
Chinese elm are, apparently, repotted in spring.
Leaf buds started to burst so it is now repotted in bonsai compost, in a new bonsai container.
I decided I needed moss on the soil.
Moss 01
Lifted from the base of a tree, and suspect it won't like full sun.


Moss 02
A lump of moss that fell from the roofing tiles. Should like sun.


Moss 03

Collected from concrete steps out the back. Probably same as #02


This was near to #03, but very wet and fell to bits. Again I suspect same as #03.


I'm still studying Common mosses on walls - British Bryological Society. but the more brains the better.

So, any ideas, guys?

TIA

Fof

EDIT: All have been pressed down to enhance contact, so they may be a bit squashed.

 

Looks like the stuff that grows on my shed roof and in the gutters, I'm afraid moss is mostly moss to me.
Apart from sphagnum.