In the horoscope A, notice that Saturn is exalted in the 9th house along with a waning Moon (natural malefic). Saturn owns 1st and 12th houses (expenditure) where as Moon owns 6th house .Put together, the 9th house (represents father) has malefics. The karaka for father (Sun) is very close to Ketu (on the same quarter of a star). These factors indicate early death of the native's father.
One more point to note is that Moon (karaka for mother) is conjunct with a strong malefic (on the same quarter of a star), while the 4th house (represents mother) has an exalted malefic (Rahu). These factors indicate problems to mother. Rahu in the 4th house (or his association with Moon) usually indicates widowhood to mother.
Notice Ra in the 8th house from 9th (i.e., 4th from lagna). Ra and Sa have 6/8 relationship. When the native was running through Sa/Ra phase, his father expired.