Employer name would be the name of the company/person you work for. You are the employee, the empolyer would be the company that hired you.So if you worked for Sears, then Sears would be the employer name. You could also include the name of your supervisor if it's a large company that you work for.Example: Employer Name: Sears-Supervisor: Jack Black.ou could also include the name of your supervisor if it's a large company that you work for. Example: Employer Name: Sears-Supervisor: Jack Black.