Sea anemones taxonomy is very difficult. It is based on external characters as well as internal characters and also the cnidom. Unfotunately, I was not able to see the image enlarged. It could be an acontiarian sea anemone, but you would have to dicover if it emits acontia when disturbed! Is this specimen alive? If so, try to do this using a small delicate brush on their tentacles!
Sorry for my poor English! As I said before, you can only correctly identify a specimen studying its external and internal anatomy as well as its cnidome.
In case you wish to identify the specimens, you have to follow some steps:
First, measuring the specimens and observing their external characters, like number of tentacles, kind of stuctures in the colum (vesicles, verrucae, cinclides and so on) and the kind of nematocysts of all these structures.
After this, studying their internal stuctures. To do this, you have to follow some steps:
1)use, at least, two specimens to proceed to two kinds of histological sections: one longitudinal, the other transversal, since the taxonomy of sea anemones is mainly based on the kind of muscles of its body;
2)anesthetize both specimens using menthol crystals, for example;
3)dehydratate the specimens using an alcoholic series (70% to absolute) (2h each);
4)replace the absolute alcohol by xilene (2h);
5)substitute the xilene by liquid paraffin in a hothouse (2 changes of 2 h);
6)prepare the blocks, positioning the material (one up, the other lying);
7)after this you have to cut the blocks in sections of 7 micrometers , using a microtome equipped with a microtome knife ;
8)stretch the sections in a hot bath bowl, hook the sections with a glass slide and let it dry;
9)proceed to the elected stainig technic (Hematoxilyn X Eosin or a trichromic method like Mallory's);
Well, there are some other more modern technics to emblock and cut material, but this is good enough!
After this, you have to look at the slides in a good microscope to identify the internal anatomy (number of mesenteries, the kind of muscles present -retractors, sphincter, basilar and wall muscles and so on); To understand what you are looking at you need to consult, at least, Stephenson (1928, 1935) and Carlgren (1949). You will also find an exelent help in Fautin (2013) online (The Hexacorallians of the World).