This situation I'm in currently is the following. This is all based in the UK (England, more precisely). I'm at university A with full EPSRC for a maths PhD. However, I'm not getting on well with the university, and would like to change to university B. (The particular reasons for this aren't pertinent to this question.) I've looked on the EPSRC website and I can't see anything that says this isn't an issue. Ideally I'd like to move to university B at the start of next year (so not wait until the new academic year).
I've spoken with university B about this, and they are happy to have me, subject to being able to be funded. The person I spoke to said they were unsure if I could get funding, as they'd heard that EPSRC will only fund someone once, and so since I've already had a term of funding, they wouldn't fund me again. They aren't sure on this though.
Does anyone have any knowledge of such things? Surely while changing university during a PhD wouldn't be common, it can't be that uncommon?
Note the close relation to this question "Is transferring to another university an option for an unhappy PhD student?", but that mine is slightly different. The university to which I would transfer have said that they would have me, subject to getting funding, so this is not an issue.