"The same way your web payment goes. The payor's name, address and the account (and possibly invoice) number go with it. Also, many utilities (and state/city agencies) have sub-account numbers for each type of payment (usually by purpose) and they supply that number with the invoice. It's just that all this info needs to go with the payment (and here it does, and it does with the web payment)."

In the US there is no way to do that. You cannot send name, address, invoice with a push payment. The only thing the recipient can see is the name on the sending account and the amount. I guess we are behind the times, although I imagine a rewrite of the ACH system would be a pretty big job . ..