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One reference or number field should be for entering the Creditor's invoice number, and there should be an additional reference or memo field for entering your own reference or note. This would enable users to see important information in summary screens, and to search by a different field. For example, one insurance broker might invoice us for several different insurance types, but all are allocated to the same GL account. It would be extremely useful to search by insurance type, or at least see it listed on the summary screen when searching by Contact.

... just to add, one of the great features about Xero is how it syncs with so many other systems. So having the ability to reference a sales order number on our sales invoices, and a purchase order number on our bills, generated on a separate system, is really critical if any kind of audit trail is to be maintained. We have it for sales, just need to do the same for purchases.
Thanks team!

Indeed - I import bills from another system and each has a unique PO number. I only have the option to use this for the bill reference to enter the supplier invoice number - not both. This is in contrast to the invoice screen. I need to enter both PO & supplier invoice numbers or I cannot reconcile them!