Set the Source field to a quoted display name, a space, then the address wrapped in angle brackets (the standard RFC From format). Recipients then see the name instead of a bare address, and no extra SES setting is needed, the name rides along in the header you already send.

Context: Stack Overflow #22141041 (accepted answer, 114 votes): The reporter was sending through SES with the PHP SDK and wanted the From header to show a display name like "Jane Doe" next to the address instead of a bare email. They were passing just the address string and did not know the accepted format for combining a name with the address.