To answer your question Crispin, they are vintage Austin Seven's (A7), the red open top is a 1927 model often called a Chummy. With the saloon being a 1929 version, referred to at the time as a Wide Door model and favoured by the forces.
Despite their age they are very usable cars, I do about 2500 miles a year with them, and that is out with the worst salty road condition season. Although I personally do not enter into trialing there are many people that use the A7 to both hill climb and trial in some appaling muddy conditions. They remind me of early day greenlane and trial devotees, done often in connection with the Vintage Sports Car club (VSCC).
I will stop now before I out stay my welcome, but suffice to say there is a lot of detail I could share, including some interesting long distance runs undertaken recently, e.g. Peking to Paris.
Crispin, I whole heartly agree, would never subject my cars to anything too stressful, just use them on minor roads a fair amount and a little bit in the city surrounds. However FYI here is an example of someone that does hill climb, and that is just at the start of a hill in the Scottish borders. This form of entertainment is far from unique to A7 owners, many far more valuable vintage cars are 'used' for this sport
A nice looking pair of Seven's there Anthony but, the Red one looks like it might be over heating as the bottom of the rad is melting. And by the look of the n/s/f wheel on the Beige one, it looks like a big growly dog has took a bite out of it