Background:
Question: How can I discover which payment_method is associated with my nonce?
Edit to add: There is a paradoxical reference at the bottom of the javascript+PHP page to an otherwise undocumented [paymentMethodNonce] parameter which uses an also undocumented [options][verifyCard] parameter. I suppose I could run [paymentMethodNonce] sans [options] against each payment_method token associated the user and inspect the errors... lol.
I work at Braintree. If you have more questions, I suggest you reach out to our support team.
When you use the Drop-In UI, it doesn't automatically create a payment method, just a nonce. You pass the nonce back to your server and create a payment method with it:
$result = Braintree_PaymentMethod::create(array(
'customerId' => '12345',
'paymentMethodNonce' => 'nonce-from-the-client'
));
If the nonce points to an already-vaulted payment method for that customer, you'll get back the existing payment method rather than a duplicate.
You can then update that payment method to add a billing address before using it to create a transaction.