First more photos, please pick a mushroom and photograph it from the side, make sure to get the base of the stipe (stem). Also another shot from underneath to see the gill/pore structure. Shots should be sharp and tight.
Also, take a spore print. Pick a mushroom and sever the cap from the stipe (stem). Now lay the mushroom gill/pore side down on a piece of white paper (other colored paper can also work). Leave the cap overnight. Tomorrow there should be a spore print revealing the spore color, which is very important for identification.
I've fielded numerous threads from owners very concerned about their dogs eating every plant or mushroom. How did wolves survive for eons? Perhaps dogs have had sense bred out of them, or are owners are being excessively vigilant? Is training required?