17thWhitePrince wrote:How can that be done without their consent or notification especially when card ships out of state
Very easily with enough information on a person to commit identity theft. If the creditor isn't provided the person's correct contact info then how would that person get notified? It's not "out of state" when the other state is provided to the creditor. The person committing identity theft is impersonating the other person so as far as the creditor is concerned they have consent. People move all the time so it's not unusual for a new address to be provided with a credit application.
17thWhitePrince wrote:Can someone open up a c/c in a credit card company with whom the person has no current or prior accounts
If the actual person can open an account with a creditor with whom the person has no current or prior accounts then the fraudster can as well if equipped with enough information.
Your statements seem to assume that the creditor knows that the person opening the account is committing identity theft. You need to look at this from the creditor's perspective and not your perspective where you're aware of the identity theft after the fact.
17thWhitePrince wrote:Can we set up some extra security measures (through our c/c companies) to notify us every time a credit card is released in our names
There's no practical way to set that up with every possible creditor out there. Set up credit freezes as suggested above.
17thWhitePrince wrote:Is the only way to make certain no one is opening up accounts in our names and actively using them is by checking our credit reports monthly
It's not the only way but everyone should definitely check their reports regularly -- at the very least making use of the Annual Credit Report site.