Hi Steve,
Are both the same type of storage account with same redundancy settings? For example, are both GPv2?
Do both accounts handling about the same number of requests and storing about the same amount of data?
Are you seeing the difference in speed reflected in the monitoring metrics? For example, if you run tests against each and compare Success E2E Latency and Success Server Latency what are you seeing?
Based on information provided in comments below I recommend you open a new support case via the Azure portal. A support engineer can investigate the storage backend in UK South to find out why it is so much slower than North Europe for same workload.
Please click Accept Answer if the above and related comments have been helpful.
Thanks.
-TP