Should she cover her face and hair in front of her father?

The differences concerning women’s hijaab
mentioned here stem from ijtihad. The most correct view is that it is
obligatory for a woman to cover all of her body, including the face,
hands, hair and all the rest of her body in front of non-mahram men,
because of the general meaning of the aayah (interpretation of the meaning):

“…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…” [al-Noor24:31]

this cannot be achieved without covering the face,
and it is even more appropriate that the hair and other parts of the
body should be covered; it is haraam to show them.

 And
because the Prophet (peace and
blessings of Allaah be upon him) said: “All of the woman is ‘awrah.” 
And because fitnah may arise by looking at all of that. The hadeeth
that says that it is permissible to uncover the face and hands is not
saheeh.

 With
regard to a woman’s ‘awrah in front of her brothers, father, uncles
etc., and other women, it is everything apart from that which ordinarily
appears of her. So it is permissible for her to show her head, face,
hands, neck and feet, because it is too difficult for her to cover them
in front of them, and because there is no fear of fitnah in this case.

 Shaykh
Waleed al-Firyaan.

 Ibn
Katheer said in his Tafseer
of the aayah (interpretation of the meaning)

“…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…” [al-Noor24:31]:

 “’…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…’ means that they should wear the outer
garment in such a way as to cover their chests and ribs, so that they
will be different from the women of the jaahiliyyah,
who did not do that but would pass in front of men with their chests
completely uncovered, and with their necks, forelocks, hair and earrings
uncovered. So Allaah commanded the believing women to cover themselves,
as He says (interpretation of the meaning):

‘O Prophet! Tell your
wives and your daughters and the women of the believers to draw their
cloaks (veils) all over their bodies (i.e. screen themselves completely
except the eyes or one eye to see the way). That will be better, that
they should be known (as free respectable women) so as not to be annoyed’
[al-Ahzaab 33:59]

And concerning this aayah (interpretation of the meaning) –

‘… and to draw their
veils all over juyoobihinna (i.e. their bodies, faces, necks and bosoms)’
– he said: khumur (veils)
is the plural of khimaar,
which means something that covers, and is what is used to cover the
head. This is what is known among the people as a veil.

Sa’eed ibn Jubayr said: ‘and
to draw’ means to pull it around and tie it securely.

‘their veils all over
juyoobihinna’ means, over their necks and
chests so that nothing can be seen of them.

Al-Bukhaari (4758) said: Ubayy told us from
Yoonus from Ibn Shihaab from ‘Urwah that ‘Aa’ishah (may Allaah be pleased
with her) said:

‘May Allaah have mercy on the early Muhaajir
women. When Allaah revealed the aayah
(interpretation of the meaning) –

“… and to draw their
veils all over Juyoobihinna (i.e. their bodies, faces, necks and bosoms)…”,
they tore their aprons and covered themselves with them.’

Al-Bukhaari also said (4759): Abu Na’eem told us, Ibraaheem
ibn Naafi’ told us, from al-Hasan ibn Muslim, from Safiyyah bint Shaybah
that ‘Aa’ishah (may Allaah be pleased with her) used to say: when this
aayah (interpretation
of the meaning) –

‘…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…’ – was revealed, they took their izaars
(waistsheets) and tore them at the edges, and covered themselves with
them.

Ibn Abi Haatim said:
my father told us, Ahmad ibn ‘Abd-Allaah ibn Yoonus told us, al-Zanji
ibn Khaalid told me, ‘Abd-Allaah ibn ‘Uthmaan ibn Khaytham told us,
that Safiyah bint Shaybah said: whilst we were sitting with ‘Aa’ishah,
mention was made of the women of Quraysh and how good they were. ‘Aa’ishah
said that the women of Quraysh were indeed good, ‘but by Allaah I have
never seen any better than the women of the Ansaar, or any women who
believed more strongly in the Book of Allaah and had more faith in the
Revelation. When Soorat al-Noor was revealed –

“…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…” [al-Noor24:31]
–

their menfolk came back to them and recited to them
what Allaah had revealed. No sooner had a man recited it to his wife,
daughter, sister and all other female relatives, but they all went and
picked up their embroidered aprons, and covered their heads with them,
in obedience to the words of His Book that Allaah had revealed. The
next morning they stood behind the Messenger of Allaah
(peace and blessings of Allaah be upon him) with their heads covered,
as if there were crows on their heads.’

(Narrated by Abu Dawood,
4100 with more than one isnaadfrom Safiyyah
bint Shaybah).Ibn
Jareer said (18120): Yoonus told us, Ibn Wahb informed us that Qarqarah
ibn ‘Abd al-Rahmaan told him from Ibn Shihaab from ‘Urwah that ‘Aa’ishah
said:

‘May Allaah have mercy
on the first muhaajir women. When Allaah revealed the words (interpretation
of the meaning) –

“…and
to draw their veils all over Juyoobihinna (i.e. their bodies, faces,
necks and bosoms)…” [al-Noor24:31]
–

they tore the edges
of their aprons and covered their heads with them.’

(narrated
by Abu Dawood, 4102, from the hadeeth of Ibn Wahb). Tafseer Ibn Katheer, 3/283

 What
you have mentioned about some books saying that women have to wear hijaab
in front of their brothers and fathers is extreme and is a mistake.
Allaah says (interpretation of the meaning):

 “And
tell the believing women to lower their gaze (from looking at forbidden
things), and protect their private parts (from illegal sexual acts)
and not to show off their adornment except only that which is apparent
(like both eyes for necessity to see the way, or outer palms of hands
or one eye or dress like veil, gloves, headcover, apron),
and to draw their veils all over
Juyoobihinna (i.e. their bodies, faces, necks and bosoms) and not to
reveal their adornment except to their husbands, or their fathers, or
their husband’s fathers, or their sons, or their husband’s sons, or
their brothers or their brother’s sons, or their sister’s sons, or their
(Muslim) women (i.e. their sisters in Islam), or the (female) slaves
whom their right hands possess, or old male servants who lack vigour,
or small children who have no sense of feminine sex. And let them not
stamp their feet so as to reveal what they hide of their adornment.
And all of you beg Allaah to forgive you all, O believers, that you
may be successful” [al-Noor
24:31]

 And
Allaah knows best.