When I have paper check payments come in, the name of the customer's organization doesn't always match exactly to the way they entered it when signing up for an account. But I always have an invoice number for matching. If the payment was delayed a bit, the invoice needing to be paid might be on page two of this page, and I don't see it right away.
If we could search by invoice number in the search box, that would be A+. It looks like it is already searching by user name, org name, and membership ID, but not invoice.
This seems fairly straightforward to implement and would be a really nice quick win.