Musing on a Curlywurly - like you do - I had a look to see when they were 'invented' - much longer ago than I thought too.
Found this, which is interesting lol (http://www.localhistories.org/sweets.html)
20th Century Sweets
In 1903 the ice cream cone was invented. Choc-ices went on sale in the USA in 1921. Meanwhile bubble gum was invented in 1906 (although it wasn't actually sold until 1928) and the first lollipops were sold about 1908. In 1922 ice cream was sold in the street for the first time from tricylces with a box on front. Sales of ice cream boomed in the 1930s.
Also in the early 20th century manufacturers began to use peppermint to flavour sweets. They also added sherbet to sweets.
Many new kinds of sweets were introduced in the 20th century. Dairy Milk was introduced in 1905. Toblerone followed it in 1908. Later came Flake (1920), Fruit and Nut (1921), Milky Way (1923 in the USA 1935 in Britain), Crunchie (1929), Snickers and Freddo (1930), Mars Bar (1932), Whole Nut (1933), Aero and Kit Kat (1935), Maltesers and Blue Riband (1936) and Smarties, Rolo and Milky Bar (1937). Later came Polo mints (1948), Bounty (1951), Munchies (1957), Picnic and Galaxy (1958), Caramac (1959), Topic (1962) Toffee Crisp (1963), Twix (1967), Curly wurly (1971), Yorkie, Double Decker and Lion Bar (1976) and Wispa (1983). Amazin Raisin bars went on sale in 1971 but they stopped making them in 1978.
Meanwhile jelly babies were invented in 1918 and the ice-lolly was invented in 1923. Black Jacks have been sold since the 1920s. Lovehearts were first made in 1933. Starburst was invented in 1960 and Spangles were sold from 1948 to 1984. Chewits were introduced in 1965. Skittles were first made in 1974.
Walnut Whip was first sold in 1910. Furthermore boxes of chocolates were introduced. Milk Tray dates from 1915. Terry's Chocolate Orange and All Gold were introduced in 1932. Black Magic was introduced in 1933. Dairy Box and Quality Street came in 1936. Cadbury's Roses date from 1938. After Eight dates from 1962.
The first ready salted crisps were sold in 1960. Flavoured crisps followed in 1962.
In Britain sweets and chocolate were rationed from 1942 to 1953. 5 February 1953 was a day of rejoicing for children!