He died owing expiation for having intercourse during the day in Ramadan. What should his children do?
Question

                My father has died, may Allah have mercy on him. He left behind some wealth and it has been divided among the heirs. After he died, my mother told me that he had had intercourse with her during the day in Ramadan more than 25 or 30 years ago. That took place without my mother's consent and, as she remembers, she had come out of the hospital after having surgery. My mother told me that she said to him at that time that that was not permissible and he should ask about that, then he told her that he had repented and Allah is Oft-Forgiving and Most Merciful. My mother told me that shyness prevented her from asking about it or telling us. My mother wanted to fast for two months but I thought that she had no hand in what happened, so she did not have to do anything, in addition to the fact that her health does not allow her to do that. What should we do with regard to our deceased father? And what should our mother do?.
Praise be to Allah.
    Firstly: 

    If the mother was forced to have intercourse during Ramadan 
    by her husband, then she does not have to offer expiation, because of the 
    general meaning of the words of the Prophet (blessings and peace of Allah be 
    upon him): “Allaah has forgiven for me my ummah their mistakes and 
    forgetfulness, and what they are forced to do.” Narrated by Ibn Maajah 
    (2043); classed as saheeh by al-Albaani in Saheeh Ibn Maajah. But if 
    she went along with him willingly, then she has to make up that fast and 
    offer expiation. 

    The scholars of the Standing Committee for Issuing Fatwas 
    said concerning the ruling on one who has intercourse during the day in 
    Ramadan: 

    What he has to do is free a slave. If he cannot do that, then 
    he must fast for two consecutive months. If he cannot do that, then he must 
    feed sixty poor persons, giving each one a mudd of wheat, and he has to make 
    up a day to replace that day. As for the woman, if she did it willingly then 
    the ruling is the same as that for a man, but if she was forced to do it 
    then she does not have to do anything apart from making up that day. End 
    quote. Fataawa al-Lajnah al-Daa’imah (10/302). 

    If the expiation is required of her, you have said that she 
    is unable to fast; in that case it is sufficient for her to feed 60 poor 
    persons. 

    See also the answer to question number
    1672 for information on the 
    expiation for intercourse during the day in Ramadan. 

    Secondly: 

    With regard to the father, he should have fasted two 
    consecutive months and made up that day on which he broke the fast by having 
    intercourse. As he has died and did not do that, then someone may volunteer 
    to fast on his behalf, and fast two consecutive months, because the Prophet 
    (blessings and peace of Allah be upon him) said: “Whoever dies owing any 
    (obligatory) fasts, his next-of-kin should make them up on his behalf.” 
    Narrated by Muslim (1147).

    It is not permissible to divide the two months between more 
    than one person; rather it is stipulated that they should be fasted by one 
    person so that it can truly be said that he fasted two consecutive months. 

    Or they may give food on his behalf to one poor person for 
    each day. 

    Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) said: 

    If the deceased was obliged to fast for two consecutive 
    months, either one of his heirs may volunteer to fast them on his behalf, or 
    they may feed one poor person for each day. End quote. 

    Al-Sharh al-Mumti’ (6/453). 

    And he said: 

    It is proven from the Prophet (blessings and peace of Allah 
    be upon him) that if a person died owing an obligatory fast of Ramadan or a 
    vow or expiation, then his next of kin may fast on his behalf –i.e., if he 
    wishes. End quote. 

    Fataawa Noor ‘ala al-Darb, 
    20/199 

    Shaykh al-Sa’di (may Allah have mercy on him) said: 

    If a person dies owing days to be made up from Ramadan, and 
    he recovered from the sickness (that prevented him from fasting) and did not 
    fast them, then one poor person must be fed on his behalf every day, for a 
    number of days equal to the number of days that he owed. 

    According to Shaykh Taqiy al-Deen [Ibn Taymiyah], if someone 
    fasts it on his behalf, that is also acceptable. End quote. Irshaad 
    Ooli’l-Basaa’ir wa’l-Albaab, p. 79 

    This food for the poor must be paid for from the estate. If 
    someone donates it from his own wealth, there is nothing wrong with that. 

    And Allah knows best.