There are a few 24 hour callout places that can come out and fit a new tyre if you're stuck. DH saw he had a flat tyre when he was about to go to work on a night shift, (a few months back, in mid May,) so he called the local tyre company's 24 hour call out number, and they came and did it for him. (You have to give them the number of the tyre and they get the correct one from their warehouse.) He didn't see the flat tyre til shortly before he was about to leave for work.
They were only three quarters of an hour - and it was done in half an hour. So DH was only about half an hour late for work. It cost £50 extra for the 24 hour callout, but DH would have lost £160 for his night shift if he hadn't gone in, (and just waited til the next day.) A taxi was not an option, as there are only 3 taxi drivers within 5-6 miles, no actual companies, and you have to pretty much book a week in advance for anything most of the time.
Occasionally we have rung for a taxi to see if we can get one now/soon, and got one within 1-2 hours, but it's been the middle of the day. Most times you can't get one. And they would very likely not come out at night. Unless it was a vulnerable person/a woman alone stranded, with no breakdown cover. Also, to DH's work, it would have cost £75 round trip to work, as he works 18 miles away. Half his bloody wage almost!
He did have to call someone out a couple of years ago too, as he popped a tyre on a massive pothole in the dark on the way to work at 9.30pm, on a BANK HOLIDAY MONDAY, and we didn't know at that point that our local tyre centre came out then, for £50 extra. (Normally, they charge £115 for a daytime call out..../to come to you and supply and fit the tyre.) So we paid £165 for the nightime callout.)
But yeah we didn't know they did this at the time. So I looked on the internet for him, and found a company 10 miles from him, and they came out, but not for 2 hours! So he was stood there in the dark on the side of a busy A road from 9.30pm to 11.30pm. They charged £325! (Bank holiday rates, and more expensive anyway!) We got it back though - from the council. Pretty stressful at the time!
tl;rd, I expect you're sorted now @cosmobrown but always keep a local tyre fitter's 24 hour callout in your phone!