Ok, so now I find myself in a very unusual position - praising Cllr Britcliffe.
I wrote an email to the council to ask if they could reissue the cheque under my name and received no response. So, I wrote to my ward Councillor, who just so happens to be Cllr Britcliffe) this morning asking if he could advise on the best way to deal with it. It's now 2pm, and I've received an email from someone in the rebate section saying that they have cancelled the old cheque and a new one is on its way with just my name on it.
Credit where credit's due - thank you.