My DD needs a DBS check for the job she has after she leaves college.
Even though she was adopted before age 10 (age of criminal responsibility) she needs to put all her previous names down on the form, so I was abruptly informed by their helpline .
So I think this means her employer effectively gets to see this as they will see previous surnames.
To add slight insult to injury, the DBS people have a 'sensitive issues department', but they don't consider being adopted as sensitive at it only deals with transgender people. (And they are very abrupt with their emails too!)