Ala. Code § 43-8-166: Notice to Surviving Spouse and Next of Kin - Persons Outside State.

If either the surviving spouse or next of kin reside and are without the state, notice of such application must be given by publication once a week for three successive weeks in a newspaper published in the county in which such application is made, and if no paper is published therein, by posting of the same at the courthouse three weeks before such application is heard. In lieu of the notice herein provided, notice may be had on such persons as provided by the Alabama Rules of Civil Procedure.