(1) Any county clerk or official registrar shall register without charge any elector who personally appears in the office of the county clerk or before the official registrar, as the case may be, and requests to be registered.
(2) Upon receipt of a written application to the county clerk from any elector who, by reason of illness or physical incapacity is prevented from personally appearing in the office of the county clerk or before an official registrar, the county clerk or an official registrar so directed by the county clerk shall register such elector at the place of abode of the elector.