Dude... you need to clarify what you're saying..
So... you bought bitcoin and send your address to the provider . ok.
which address? the one blockchain gave to you or this "old address"?
I created a blockchain account I was asked to verify my email address, give an indication of passwords etc ...
I buy bitcoin via bitboat, the worry is that I give to receive my bitcoins an old bitcoins address that I had noted on a note I did not know that changing it all the time.
I have never had a private key
if you gave an old address and you dont have the private key, sorry, but i've lost you bitcoin...
blockchain.info probably generated an address and this address already have the private key.
but this "old address" you have mentioned doest have the private key and it's a watch only.