1110/1 - ‘Ā’ishah (may Allah be pleased with her) reported: “Whenever the Prophet (may Allah’s peace and blessings be upon him) offered the two-Rak‘ah Sunnah of Fajr, he would then lie down on his right side.” [Narrated by Al-Bukhāri]
1111/2 - She also reported: “From the time he finished the ‘Ishā’ prayer till Fajr, the Prophet (may Allah’s peace and blessings be upon him) used to pray 11 Rak‘ahs, making Taslīm between every two Rak‘ahs and observing Witr with one Rak‘ah. When the Muezzin finished the Adhān for Fajr and dawn became clear and the Muezzin came to him, he would offer two brief Rak‘ahs and then lie down on his right side like this, until the Muezzin came to him for the Iqāmah.” [Narrated by Muslim]
Her statement “making Taslīm between every two Rak‘ahs” is narrated like this by Muslim, and it means: after every two Rak‘ahs.
1112/3 - Abu Hurayrah (may Allah be pleased with him) reported: The Messenger of Allah (may Allah’s peace and blessings be upon him) said: “When anyone of you prays the two-Rak‘ah Sunnah of Fajr, let him lie down on his right side.”
[Narrated by Abu Dāwūd and Al-Tirmidhi with authentic Isnāds; Al-Tirmidhi classified it as Hasan Sahīh (sound and authentic)]
1) They point out the desirability of taking a brief rest on one’s right side after the two-Rak‘ah Sunnah of Fajr. The Prophet (may Allah’s peace and blessings be upon him) is authentically reported to have said and done this.
2) Qiyām al-Layl (voluntary night prayer) is to be offered as two Rak‘ahs by two Rak‘ahs, with Taslīm made after every two Rak‘ahs.
3) Qiyām al-Layl is part of the Prophet’s guidance, and it is an honor for the believer in worldly life and a light for him in the Hereafter.