Donation recorded under the wrong contact name
If its a matter of updating one contribution than you can 


use api explorer(CiviCRM >> Support >> Developer >> API explorer 3) to update the contact id for the contribution, see below image(use the contribution id to move the contribution)



2. Execute below sql statement in your mysql (below sql statement update contribution with 23 to set contact to id 103)

sql:

UPDATE civicrm_contribution SET contact_id = 103 WHERE id = 23;



You can use Move contribution extension to move contribution to different contact