Anne here, talking about parasols, which seem to have gone out of fashion, and brollies, which seem eternal. (Do you know the term 'brollies'? It's a slang term for umbrellas, but I'm not sure if it's used in the USA.)
I've always had a fascination with brollies and parasols, and for many years had this poster on display in my office. Gorgeous, isn't it — a vintage poster from 1925 advertising transport to the Summer Sales in the UK— clearly a much damper season than it is in Australia.
If you're interested in etymology, the word parasol is made up of para, meaning to stop or shield and sol meaning sun. The French for umbrella is parapluie, pluie meaning rain, but the English word comes from the Latin umbra or the Greek ombros, meaning shade, and elle meaning small -- and thus an umbrella means small shadow, and the earliest references to it in English seem to indicate it was a sunshade, rather than rain protection.