There are two reasons to photograph fungi, John. To create a pleasing scene; something which could be hung on your wall, etc. Or for identification purposes. In many cases you can achieve both.
Avoiding sunshine, or even rather bright indirect light in some cases, has already been mentioned. I always use some form of light restriction for fungi, particularly the shiny and greasy types. You may get away with natural cover on overcast days but some form of diffuser is frequently required. I have a Lastolite Difflector for that purpose but I don't always carry it so I will also use my Lastolite fold up white balance card or simply use my body shadow to create a little bit of shadow.
This usually requires a fairly long exposure, partly due to requiring a narrow aperture for increased focus depth, so a tripod is essential. Taking multiple shots for focus stacking can produce the best focus depth, otherwise some care will be required to decide which parts can be left to fade into softness.
Before shooting, have a good look at the scene and clean up any debris on the fungi; unless that is specifically required. Also do a bit of gardening around the subject to prevent any obstructions or excessively reflective areas such as wet leaves, etc. Some imperfect fungi may need to be removed.
Take some time over choosing the best angles.
If shooting for identification it is handy to pick one of the fungi and lay it down at an angle which clearly shows the stem and gills; with particular reference to how the gills are attached to the stem. I frequently add a ruler to these shots so as to help with identification when I return home.
But if you are serious about identification the best option, which is used by the fungi experts, is to carefully take one home to produce a spore print. The colour of the spores is a great help with identification because so many fungi are virtually identical or can be quite variable. Spores can vary from white through various shades of yellow or brown to black.
In some cases the spores need to be examined under a microscope to see their shape for a full identification. However, many fungi amateurs are content merely to arrive at the family level.
For example, I agree with Flammulina as a possible identification for these images but there are alternatives. Is the stem dark brown, particularly towards the base with a velvet like texture and are the gills adnexed where they meet the stem. There are a number of strange sounding words to describe the shape of the gills and this can be tricky to learn.
Fungi photography can be an interesting hobby but it tends to be something of a minefield when first starting.
