Grey-green colours, white stem may be from soil under birch log or from the log itself.
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Some fungi are very poisonous so a mistaken ID could have serious consequences.
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I am certain its not Russula as stem is WAY to long compared to cap but without those gills photos. . .
All given ID's are subject to error/ommissions. Please seek independent verification before acting on ANY advice given. BE SAFE =)
Not a Russula was it growing from the wood and were the gill's pinkish as it looks like a Pluteus
Lat/Lng: 50.6946, -2.2923
OS grid ref: SY794883