If the unorganized militia is ordered out by draft, the Governor may appoint the number by draft according to the population of the several counties of the state, or otherwise, and shall notify the sheriff of each county, from which any draft is so required, of the number of persons his county is to furnish. Upon the requisition of the Governor being received by the sheriff, the sheriff shall immediately notify the clerk of the circuit court of the county, or in the absence of the said clerk or his inability to act, then his legally authorized deputy or deputies, who shall repair to the office of said clerk and in public copy from the most recent enrollment those persons liable for service under such draft of the unorganized militia, by name or number, the persons shown thereon. Such names or their corresponding numbers shall be placed on slips of paper of the same size and appearance, as nearly as practicable, which slips shall be placed in a box suitable for the purpose and the number required to fill such draft drawn therefrom by the clerk or his legally authorized deputy. The sheriff shall serve upon the persons so drafted a written order from the Governor specifying at what time and at what place they shall appear and report to the officer specified by the Governor. The sheriff shall make return to the clerk of all persons drawn who could not be found, and the clerk shall then draw as many additional names as may be required to complete the draft or to replace those, who, having been drawn, have been rejected by the military authorities for disability, and continue in like manner until the draft is completed and accepted by the military authorities. The Governor may prescribe rules and regulations for conducting the draft and may designate additional officers to assist the respective clerks and sheriffs conducting the same.