int index = employeeList.FindIndex(employee => employee.LastName.Equals(somename, StringComparison.Ordinal));
Edit: Without lambdas for C# 2.0 (the original doesn’t use LINQ or any .NET 3+ features, just the lambda syntax in C# 3.0):
int index = employeeList.FindIndex(
delegate(Employee employee)
{
return employee.LastName.Equals(somename, StringComparison.Ordinal);
});