Delta allows name corrections on tickets, but does not allow a name to be changed to a different passenger. An existing ticket is not transferable to another person. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) To resolve an error on your ticket, you must contact Delta's reservations department. 

Allowed name changes and corrections

• Minor corrections: Delta permits minor spelling mistakes of up to three characters to be fixed on tickets.
• Inverted names: An error where the first and last names are accidentally inverted can be corrected.
• Legal name change: If your name has changed legally due to marriage, divorce, or another legal action, Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK), you can update it on your ticket. You will need to provide legal documentation, such as a marriage or divorce certificate, for verification.
• Name additions or abbreviations: You can add or change a middle name or initial to your booking. You can also change a nickname to your full legal name. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK).