What is the scope of the power of the Attorney General to remove a Deputy, Cashier or Private Secretary?

'We think that, when the statute excepted from the limitations upon the power to remove certain persons like relator the office of deputy, cashier, or private secretary, it contemplates only positions brought within [5 N.Y.2d 152] these excepted classes by the terms of the laws which created or authorized and defined them, or at the most positions which under some sufficient authority at the discretion of the appointing or superior power have been invested with the duties and character of one of the excepted positions.' People ex rel. Hoefle v. Cahill, 188 N.Y. 489, 497-498, 81 N.E. 453, 455; emphasis supplied.