The speedtest server is on ookla.btlancashire.co.uk [126.96.36.199], but same trace route.
From a quick Google it would look like BT Lancashire Services is a services company owned by BT that provide IT and payment services etc for Lancashire County Council, which is also the organisation name on the whois record.
Don't JANET offer "govroam" to public bodies? So I wouldn't be surprised if they also offer connectivity to public bodies too.
Although it does sound an odd setup!!
Almost as odd as Vodafone Broadband at the moment!