If he had the chance to do hajj but did not do it, you must not take anything from his wealth to perform hajj with as this wealth belongs to heirs now. Whoever wants good deeds may perform hajj on his behalf or pay someone to do that for him.

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Wa alaikum salam wa rehmatAllah, If she is alive, she can give it to whomever she wishes while she is alive, providing she is fair when distributing it between her children. After her death, the distribution depends on who she left behind from parents, husband, children etc. This distribution is from Allah and not anyone else.

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