Employee Moved to a new Department

SOLVED

We recently promoted one of our field employees to the office. We have Office and Field set up as separate departments within Payroll. I was planning to just create a new Employee No. for her in the office department but I'm thinking the system will start to take unemployment taxes out again even though she already reached her limit. Is there a way for the system to recognize that the same social security number will be the same employee and not take out for the unemployment taxes?

Thanks!