Delta Airlines' policy does not allow transferring a ticket to another person. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) However, the airline does permit name corrections for minor spelling mistakes and allows legal name changes with proper documentation. 

Name corrections

For minor spelling errors, you can request a correction to your ticket. 

• Minor typos: You can typically correct up to three letters in a passenger's last name. These can often be processed for a lower fee or free if you are within the 24-hour risk-free cancellation period. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) 
• Inverted names: If your first and last names were swapped on the ticket (e.g., SMITH/JANE instead of JANE/SMITH), Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) Delta allows this to be corrected.
• Middle names: You can add or correct a middle name to match your government-issued ID. 

How to correct a name

• Within 24 hours of booking: The easiest option is to cancel your reservation for a full refund and rebook with the correct name, as long as you do so within 24 hours of purchase. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) 
• Online: For minor corrections, you may be able to edit your name through the "My Trips" section on the Delta website.
• By phone: Call Delta's customer service for assistance with corrections that cannot be done online. Call at +1-888-415-1245 (US) or +44-203-869-5245 (UK) A representative can help with more complex issues, like correcting more than three letters.