The one you mention (Bellis perennis) is the English daisy, the one I said that the early leaves are edible although they turn quite astringent as the season progresses.
This from Wikipedia
"This daisy may be used as a potherb. Young leaves can be eaten raw in salads[12] or cooked, noting that the leaves become increasingly astringent with age.[6] Flower buds and petals can be eaten raw in sandwiches, soups and salads."
Notice that they say 'petals and buds' and not stalks (also not centers).
This from the herbal section:
"Bellis perennis has astringent properties and has been used in herbal medicine.[13] In ancient Rome, the surgeons who accompanied Roman legions into battle would order their slaves to pick sacks full of daisies in order to extract their juice, hence the origin of this plant's scientific name in Latin. Bandages were soaked in this juice and would then be used to bind sword and spear cuts."
Link classifying it as non-edible:
http://crescentbloom.com/Plants/Specime ... rennis.htmWikipedia link to a concern with the list of edible flowers which specifically mentions it as iffy:
http://en.wikipedia.org/wiki/Talk:List_ ... le_flowersLink to Cornell's Dept of Animal Science on plants that are not good for animals to eat (this one is on saponins which have an anti-nutritional effect) which lists daisies as one of the plants that should not be fed to them:
http://www.ansci.cornell.edu/plants/tox ... ponin.htmlUniversity of California list of toxic plants which has it:
http://ucanr.edu/sites/poisonous_safe_p ... _Name_685/(the 'dermatitis' is the result of the same irritant that numbs mucosa)
And another one that lists it with the nausea and vomiting effect (although my original reference was from a mother who had called Poison Control to ask about it because her daughter had been chewing on a daisy stem):http://healthyhomegardening.com/Blog.php?pid=112&q=Poisons%20and%20Treatments
When I do research on food for my animals, I go through several pages of it and word it in different ways in the search engine because, as I've said before, I am the kind of person that believes in "Better safe than sorry" and "When in doubt, don't do it" so, if I find a couple of references that say 'Don't' that's good enough for me.
. I'm thinking of making a parrot necklace for her, I'm going to get pieces of parrot safe wood, put a hole in each and and loop a string through the middle, I'll wear it and Cain can chew it while she's on my shoulder 
(no harness yet)
Literally the only negative thing I've found about them is that they have a kind of bitter taste. 