Beat me too it...Is this the chap?
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I did that with a weather girl in a pub (whose name escapes me), who was with her boyfriend.I am not sure where the boundary between "minor fame" and "genuine fame" comes exactly, but I did come face to face with Martin Clunes in a farm shop a couple of years ago. The problem is that your brain starts to respond as though you are meeting someone you are on nodding terms with.
Of course and depending what you do for work can really affect it. The op asked about minor celebrities and non significant encounters and so i tempered my list. I have many others and when I used to do security work I used to do security for big breakfast , during the school holidays and it was the bigger breakfast and met Denise Van Outen a few times. I was just off camera at her side in a couple shows. I used to install high end audio visual equipment for Bang and Olufsen and I was sat in Martin Kemps front room and also met his wife Shirley ( Pepsi and Shirley) and his children , before his son was famous. I installed equipment at hotels before that. I did stuff for the Liverpool team at st Albans for the 96 fa Cup. Staying in the same hotel were the Dutch team who i met . Also did a hotel in Borehamwood and met the Spain team. Did stuff for tv too. So so many. Should edit to add as a railway forum. Had Suella Braverman on my train after visiting Nottingham after the horrors there. Ronnie o sullivan got off my train and I keep seeing Simon Calder in pret at St Pancras .Years ago when I was on a late turn I stood behind Leo Sayer in the queue for the till at Boots in Leeds station.
Once I had the pleasure of chatting with the late Peter Baldwin and Thelma Barlow - Derek and Mavis in Coronation Street - on the platform at Skipton station and helped them with information for their connection back to London. A lovely couple....although 'just good friends' in real life.
While undertaking practical handling training on 332s back in June 2000 - in readiness for the introduction of 333s on the Leeds NW triangles - I spotted the Princesses Beatrice and Eugenie getting into the rear (first class) carriage of my train while changing ends at Heathrow.
Nearly fifty years ago, as a young relief clerk in the Woking area I sold a ticket to the late Arthur Lowe - Captain Mainwaring in Dad's Army - at Guildford booking office.
Over the years I have seen many famous faces in and around Hebden Bridge, either filming (e.g. Sarah Lancashire, Suranne Jones, Siobhán Finneran) or local residents Chris Chittell and Dominic Brunt (Eric Pollard and Paddy the vet in Emmerdale), Ursula Holden-Gill (Alice Dingle in Emmerdale, before the character was killed-off), Kevin Doyle, Welsh opera baritone David Lloyd-Owen, amongst others.
I wouldn't say a 'minor celeb' !Once in the old YHA Shop in Birmingham when the singer Sting was in there buying clothing for an upcoming trip to save the Amazon Rain Forest.
I'd never give up my seat for that old trout.I gave up my seat for Edwina Currie and A.N.Other on a Southern train many years ago.