The initial question is answered in reference to laws relating to wills ( or lack of).
When a person dies, their assets are administered by their legal personal representative. That’s either an executor if they had a will, or an administrator if they did not.
The legal personal representative is appointed when probate is granted by the Supreme Court. (Usually a few months after death)
The LPR carries on as if the person was alive. In order to vote the LPR needs to present a will and the grant of probate to the Chairman. However most people have not encountered this and may deny the LPR his right. (Banks and other financial institutions know this and handle this with ease).
The heirs have no right to vote until the LPR transfers the title to the heirs.