Same thing happened to my spuds! We had three 'mild' frosts (+1-4C) this week and I was too slow to cover them - we're only a fortnight from midsummer's day! I covered them in May, after an earlier frost knocked them back, but we had temperatures up to 30C early June!- the top leaves are brown and crispy, 'frost burned'.
Sometimes you have to be quick to see the frost which caused the damage - this morning the lawn was frosty at 7.30 but by the time I went outside at 8.15 the sun had melted all the frost.
The frost also got half of my french beans and knocked back my courgettes, but not all veg seem to have problems with mild frost - my peas, onions, carrots, Kohlrabi, garlic, shallots, parsnips, sweetcorn, artichokes, raspberries and of course every imaginable type of weeds, no frost damage. I'll plant new beans - on the bright side, that means I get a staggered supply. I'll pretend I planned it that way!
Lesson learned - next year I'll make a fleece cover which I can pull over the veg bed on clear nights (but roll back on hot and rainy days) and will keep it there until mid June; I'll put the 'frost sensitive' plants together under the fleece.