We will not allow you to give the name after the name of Messenger of Allah ﷺ until you ask him (the Holy Prophet). So he (that person) came and said (to the Holy Prophet): A child was born in my house and I wanted to give him the name (of Muhammad) after the name of Messenger of Allah, whereas my people did not allow me that I should name him after that (sacred) name until I have asked Allah's Apostle ﷺ in this connection, whereupon he said: Give him the name after my name, but do not call him by my kunya, for I have been sent as a Qasim as I distribute amongst you.  

وُلِدَ لِرَجُلٍ مِنَّا غُلاَمٌ فَسَمَّاهُ مُحَمَّدًا فَقُلْنَا لاَ نَكْنِيكَ بِرَسُولِ اللَّهِ ﷺ حَتَّى تَسْتَأْمِرَهُ قَالَ فَأَتَاهُ فَقَالَ إِنَّهُ وُلِدَ لِي غُلاَمٌ فَسَمَّيْتُهُ بِرَسُولِ اللَّهِ وَإِنَّ قَوْمِي أَبَوْا أَنْ يَكْنُونِي بِهِ حَتَّى تَسْتَأْذِنَ النَّبِيَّ ﷺ فَقَالَ سَمُّوا بِاسْمِي وَلاَ تَكَنَّوْا بِكُنْيَتِي فَإِنَّمَا بُعِثْتُ قَاسِمًا أَقْسِمُ بَيْنَكُمْ  

[Machine] A boy was born to one of us, and his father named him Muhammad. We said, "We will not allow you to name him Muhammad, the name of the Prophet ﷺ." So, the man brought his son to the Messenger of Allah ﷺ and said, "O Messenger of Allah, indeed, a boy was born to me and I named him after you. But my people refuse to call me by my name." He said, "Yes, they should call him by my name and not use my kunya (honorific nickname) because I am the one who distributes among you."  

وُلِدَ لِرَجُلٍ مِنَّا غُلَامٌ فَسَمَّاهُ مُحَمَّدًا فَقُلْنَا لَا نَدَعُكَ تُسَمِّيهِ مُحَمَّدًا بِاسْمِ النَّبِيِّ ﷺ فَأَتَى الرَّجُلُ بِابْنِهِ إِلَى رَسُولِ اللهِ ﷺ فَقَالَ يَا رَسُولَ اللهِ إِنَّهُ وُلِدَ لِي غُلَامٌ وَإِنِّي سَمَّيْتُهُ بِاسْمِكَ فَأَبَى قَوْمِي أَنْ يَدْعُونِي قَالَ بَلَى سَمَّوْا بِاسْمِي وَلَا تَكَنَّوْا بِكُنْيَتِي فَإِنِّي قَاسِمٌ أَقْسِمُ بَيْنَكُمْ  

We will not allow You to give the name of Muhammad (to your child) after the name of Messenger of Allah ﷺ. He set forth with his son carrying him on his back and came to Allah's Apostle ﷺ, and said: Messenger of Allah a son has been born to me and I have given him the name after the name of Messenger of Allah ﷺ, whereupon Messenger of Allah ﷺ said: Give him my name but do not give him my kunya, for I am Qasim in the sense that I distribute (the spoils of war) and the dues of Zakat amongst you. (Using translation from Muslim 2133a)   

لَهُ قَوْمُهُ لَا نَدَعُكَ تُسَمِّي بِاسْمِ رَسُولِ اللهِ ﷺ فَانْطَلَقَ بِابْنِهِ حَامِلَهُ عَلَى ظَهْرِهِ فَأَتَى بِهِ رَسُولَ اللهِ ﷺ فَقَالَ يَا رَسُولَ اللهِ وُلِدَ لِي غُلَامٌ فَسَمَّيْتُهُ مُحَمَّدًا فَقَالَ لِي قَوْمِي لَا نَدَعُكَ تُسَمِّي بِاسْمِ رَسُولِ اللهِ ﷺ فَقَالَ رَسُولُ اللهِ ﷺ تَسَمَّوْا بِاسْمِي وَلَا تَكْتَنُوا بِكُنْيَتِي فَإِنَّمَا أَنَا قَاسِمٌ أَقْسِمُ بَيْنَكُمْ