Sorry about the brushshaft comment, but honestly, I'd never seen one like that until I was adult and had been shopping in a Tourist shop for a present for a friend abroad.
I actually asked the lady what they were
It's a stick spatula thing really. It's meant to get into the edges of the pot as well as across the base to stop the porridge sticking and going lumpy. It's not a big thing, it's a neat tool. It's good for custard too and polenta, and quinoa.
In the days when sawn timber took a lot of effort folks rarely made our modern cheaply purchased wide wooden spatulas for domestic use.
A bannock spade was made of metal usually, though the big bread ovens in big houses, etc., did have wooden ones.
Timber was not always freely available, and was never cheap in the UK, especially since fuel was at a premium. These little spurtles are easily carved from a small branch, a fallen stick or the like. Like the love spoons, it kept hands busy
Well, I was gonna ask what is a spurtle but you answered it. Good wood carving project.