Hadith 1190
وَعَنْهَا قَالَتْ: كَانَ النَّبِيُّ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ إِذَا صَلَّى رَكْعَتَيِ الْفَجْرِ اضْطَجَعَ عَلَى شقَّه الْأَيْمن
She said that when the Prophet prayed the two rak'as of the dawn prayer he lay down on his right side. (Bukhari and Muslim.)