Hindu female's property after death

It is not mandatory to probate the WILL in Delhi.

Apparently the WILL was not under cloud and hence has been given effect by LDO as per procedure applicable in LDO and ownership record has ben updated as per WILL.

The property came to the Lady from her father. If the Lady does not give her share in property away in her life time by say WILL or registered Gift/Sale/Relinquinshment or mortgage and deceases without leaving a valid WILL then first right will be of the heirs of her father and not husband, in case of absence of his sons or daughters.

You have not stated your religion.  Assuming you are hindu, if your mother died intestate (without writing will), then the property is distributed among her husband and children equally as per Hindu succession Act. 

Here the governing body is the personal Laws of different  religions and their schools like majorly In Muslim Law Shiya and Sunni sects and in Hindu Law Mitakshara and Devabhaga Schools plus the conventions of the society is also a major factor to decide succession like in some south Indian and North-East regions there is a maternalistic society among hinduas and sa well as in other casts.

However, taking the liberty to take your question as of a Hindu Lady, after her demice as an intestate the property will be equally distributed among the husband and her sons and daughters as first degree heirs.

For further legal consultation you can meet the undersigned at Delhi only after a prior appointment on phone.

Religion was stated as Hindu in Title itself.

Followup for Mr Kumar Doab - Can you clarify your opinion. My mother had 3 children (including me, all surviving). Her widow (my father) is also alive. Following that why would this section from Hindu Succession Act NOT apply? 

"General rules of succession in the case of female Hindus.—

@Manoj:

The position of law to your question is that the intestate property belonging to your mother will devolve on her own legal heirs consisting her children and husband. Since all of them are available, the property lying on her name (inherited from her father), can be equally shared by all the four of you.

In fact you have quoted the relevant section of the Hindu Succession Act which is very much applicable in your case, please dont have any more doubts on it and get confused. The referred provision of law is reproduced below which is applicable to your case:

(1) The property of a female Hindu dying intestate shall devolve according to the rules set out in section 16,—

Thank you all for the opinion. My doubts are all cleared. Regards