Yeah. I remember snow in April 1998, for example. Wet & slushy on the way to work.
And it settled (briefly) in the Chilterns at the beginning of June 1974. I woke up early & freezing, got out of bed to close the window, & saw the hills white in the dawn from 5 miles away. Woke again when the alarm went off, & thought "Was that a dream?". No sign of snow by then: cold, but sun shining bright. Switched on the radio while getting ready for school, & the Beeb was reporting snowfalls on high ground in southern England. There were pictures.
Maybe that was your "about some 35 years ago".