Messenger of Allah, why is it that you select (your wife) from among the Quraish, but you ignore us (the nearest of the kin)? Thereupon he said: Have you anything for me (a suitable match for me)? I said; Yes, the daughter of Hamza, whereupon Messenger of Allah ﷺ said: She is not lawful for me, for she is the daughter of my brother by reason of fosterage.  

قُلْتُ يَا رَسُولَ اللَّهِ مَا لَكَ تَنَوَّقُ فِي قُرَيْشٍ وَتَدَعُنَا فَقَالَ وَعِنْدَكُمْ شَىْءٌ قُلْتُ نَعَمْ بِنْتُ حَمْزَةَ فَقَالَ رَسُولُ اللَّهِ ﷺ إِنَّهَا لاَ تَحِلُّ لِي إِنَّهَا ابْنَةُ أَخِي مِنَ الرَّضَاعَةِ  

A hadith like this has been narrated on the authority of A'mash with the same chain of transmitters.  

عَنِ الأَعْمَشِ بِهَذَا الإِسْنَادِ مِثْلَهُ  

It was proposed that he (the Holy Prophet) be married to the daughter of Hamza, whereupon he said: She is not lawful for me for she is the daughter of my foster-brother, and that is unlawful by reason of fosterage what is unlawful by reason of genealogy.  

أَنَّ النَّبِيَّ ﷺ أُرِيدَ عَلَى ابْنَةِ حَمْزَةَ فَقَالَ إِنَّهَا لاَ تَحِلُّ لِي إِنَّهَا ابْنَةُ أَخِي مِنَ الرَّضَاعَةِ وَيَحْرُمُ مِنَ الرَّضَاعَةِ مَا يَحْرُمُ مِنَ الرَّحِمِ  

A hadith like this is narrated on the authority of Hammam, Sa'id, Bishr b 'Umar, but with a small variation of words.  

سَمِعْتُ جَابِرَ بْنَ زَيْدٍ  

It was said to the Messenger of Allah ﷺ: Is not the daughter of Hamza a suitable match for you? Or it was said: Why don't you propose to marry the daughter of Hamza, the son of Abd al-Muttalib? Thereupon he said: Hamza is my brother by reason of fosterage.  

سَمِعْتُ أُمَّ سَلَمَةَ زَوْجَ النَّبِيِّ ﷺ تَقُولُ قِيلَ لِرَسُولِ اللَّهِ ﷺ أَيْنَ أَنْتَ يَا رَسُولَ اللَّهِ عَنِ ابْنَةِ حَمْزَةَ أَوْ قِيلَ أَلاَ تَخْطُبُ بِنْتَ حَمْزَةَ بْنِ عَبْدِ الْمُطَّلِبِ قَالَ إِنَّ حَمْزَةَ أَخِي مِنَ الرَّضَاعَةِ