...if the surviving members do not want to associate with heirs of the dead member; they can offer to buy the shares as individuals. Unfortunately, the heirs might not be willing to sell!!
The company may also offer to buy the shares back, but that would require a resolution at a General Meeting of all shareholders (including the heirs of the dead member!!!). Depending of the shareholding [percentage] they have, the heirs might block such a resolution from going through!!!
Thirdly, the surviving members may then offer to sell their shares to the heirs and get out of the company. But the heirs may be unable or unwilling to buy. In which case the surviving members could sell to "outsiders"... thereby losing a company that they spent time building!
Moral of the story: don't rush to form a limited company while what you really need is a CLUB!!
Nothing is real unless it can be named; nothing has value unless it can be sold; money is worthless unless you spend it.