The spider in photo 2 and the larger one in 1 are Steatoda bipunctata. This is closely related to the false widows but is a small native UK species. I have a few in my house and don't worry about them.
Not sure about the small one in photo 1 - that might be another S.b. but if you can take a close up I might have a better idea. It's not a false widow anyway.
Thanks very much for the ID of the bigger spider, I will try to get a better picture of the smaller one tomorrow and post it here.
I am quite fascinated that I've now had 2 varieties of Steatoda in my tiny garden shed!
The egg sac is hatchling and one tiny spider has emerged and made a web. I'd like to know which variety of spiders they are but they are very small to photograph.
Thanks again for your time.
Yes, the one in the middle of the picture is a Steatoda bipunctata.
(When I said it wasn't a false widow I tend to reserve that term for the larger non-native Steatodas but others do include this species. I don't know if there is an official definition but I never heard false widow used when we just had bipunctata)