One email address, Multiple Accounts

We have a monitoring software that watches multiple clients. It generates email alerts from one email address for all the different clients. I was wondering if it was possible to have the ticket be generated for an account based on the destination email address. For example:

Alert 1

Sender = Monitoring@Monitorservice.com

Recipient = Client1Tickets@ServiceDesk.com

Subject = Client 1 is down.

Alert 2

Original Sender = Monitoring@Monitorservice.com

Recipient = Client2Tickets@ServiceDesk.com

Subject = Client 2 is down.

I would like to have Alert 1 assigned to Client 1 and Alert 2 Assigned to Client 2. But from anything I try the ticket gets assigned to the account that the requester belongs to and completely ignores the email address.

I also cannot change the account once the ticket has been created.

Any help would be greatly appreciated.