(1) Since the property is the self-acquired one, she can very well settle the property among the family members as per her wish. Instead of gift, settlement is better option. As an abundant caution, the settlement deed can be signed by all the family members; (Though, not necessarily needed).
(2) Father's property details need not be mentioned (However, if you wish, a sentence can be included in the deed that 'since, my husband....... ....... is already in possession of sufficient immovable property at Delhi, I do not wish to settle anything on his name, etc.,")
(3) It is advisable to obtain your sister, her husband or children (if major), your father's signatures as witnesses.