The NHS Business Services Authority stated that if this is the case, then people can return their certificate with a legal document proving the name change and they will send out a new one free of charge.
In May the Government announced that it was to freeze NHS prescription charges in order to help people access medicine during the cost of living crisis.
The charge usually increases in line with inflation and is announced in April.
Under current proposals, the Government is also looking into aligning access to free medication on the NHS with the retirement age.
Currently, Britons over the age of 60 years are not charged for an NHS prescription.