Hi Leigh
As I understand it, you posted the transactions and reconciled these although the director had already posted the same transactions which weren't chosen in the reconciliation. Is that right?
So long as the director's posting is correct, I'd look to reverse the duplicate entries by posting a journal, or opposing entry (eg. Payment instead of receipt) ensure it would completely clear your duplication entry (incl VAT etc).
This would then mean you could choose this reversing entry along with the director's transactions and reconcile these as an additional bank reconciliation to clear each other, so long as the net effect is zero which is should be unless either his postings or your duplicates are not correct.
Hope this provides you with a solution!