The Prophet ﷺ said, "The boy is for (the owner of) the bed and the stone is for the person who commits illegal sexual intercourse.' (Using translation from Bukhārī 6818)  

«الْوَلَدُ لِلْفِرَاشِ وَلِلْعَاهِرِ الْحَجَرُ»  

ʿThe child belongs to the (husband or master of the) woman.ʿ (Using translation from Aḥmad 173)   

عَنْ عَائِشَةَ زَوْجِ النَّبِيِّ ﷺ أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ «الْوَلَدُ لِلْفِرَاشِ»  

[Machine] 'Aisha, the wife of the Prophet ﷺ , said, "Utbah ibn Abi Waqqas made a request to his brother Sa'd ibn Abi Waqqas to give him custody of his son from Walidah Zam'ah. Utbah claimed that the child was his. When the Prophet ﷺ arrived during the time of conquest, Sa'd ibn Abi Waqqas presented the son of Walidah Zam'ah to him. The boy resembled Utbah ibn Abi Waqqas the most. The Prophet ﷺ said, 'He is yours, O Abd ibn Zam'ah, because he was born on his father's bed.' The Prophet ﷺ also said, 'Sawdah bint Zam'ah, cover yourself from him, as he looks like Utbah ibn Abi Waqqas.'"  

عَنْ عَائِشَةَ زَوْجِ النَّبِيِّ ﷺ قَالَتْ كَانَ عُتْبَةُ بْنُ أَبِي وَقَّاصٍ عَهِدَ إِلَى أَخِيهِ سَعْدِ بْنِ أَبِي وَقَّاصٍ أَنْ يَقْبِضَ إِلَيْهِ ابْنَ وَلِيدَةِ زَمْعَةَ فَقَالَ عُتْبَةُ إِنَّهُ ابْنِي فَلَمَّا قَدِمَ النَّبِيُّ ﷺ زَمَنَ الْفَتْحِ أَخَذَ سَعْدُ بْنُ أَبِي وَقَّاصٍ ابْنَ وَلِيدَةِ زَمْعَةَ فَإِذَا هو أَشْبَهُ النَّاسِ بِعُتْبَةَ بْنِ أَبِي وَقَّاصٍ فَقَالَ النَّبِيُّ هُوَ لَكَ يَا عَبْدُ بْنَ زَمْعَةَ مِنْ أَجْلِ أَنَّهُ وُلِدَ عَلَى فِرَاشِ أَبِيهِ وَقَالَ النَّبِيُّ ﷺ «احْتَجِبِي مِنْهُ يَا سَوْدَةُ بِنْتَ زَمْعَةَ مِمَّا رَأَى مِنْ شَبَهِهِ بِعُتْبَةَ بْنِ أَبِي وَقَّاصٍ وَسَوْدَةُ بِنْتُ زَمْعَةَ»