I grew up in Worcestershire and recall that my Dad had a set of wooden skittles which were dusted off and brought out each summer for the church fete (held on the rectory lawn and grass tennis court). They also had an annual airing at the local flower show which was a highlight of the year. That lasted for two days and a scoreboard recorded the names and results with a prize (maybe a duck - to roam your garden or to go in the pot) after what might be an exciting final round!
I've done some research and it seems that this set is typical Devon Nine Pins or Skittles because of the sizes and fat shape.
They are for sale but I doubt if I have space for them in the shop. (£38 but must be collected from shop or home).
You can find out more about the history of the game at http://www.tradgames.org.uk/ as I did.
This picture is 'borrowed' from the website to show you how they might be set up:)