According to specific traditions Muhammad was initially given the name Qutam by his paternal grandfather Abd al-Muttalib, but it was subsequently changed due to an alleged dream that Muhammad’s mother had, which informed her that his name will be Muhammad:
As for Quṯam b. ʿAbd al-Muṭṭalib: his mother was Ṣafiyyah bt. Jundub, the mother of al-Ḥāriṯ b. ʿAbd al-Muṭṭalib, and he died as a young boy. [Someone] other than al-Kalbī said: “He died three years before the birth of the Prophet, when he was a boy of nine years, whereupon ʿAbd al-Muṭṭalib experienced great anguish, [for] he had been dear to him [and] brought him joy. Then, when the Messenger of God was born, ʿAbd al-Muṭṭalib named him “Quṯam”, whereupon his mother ʾÂminah informed him that she had been shown in a dream [that she was] to name him “Muḥammad”—thus, he named him “Muḥammad” [instead].” (ʾAḥmad b. Yaḥyá al-Balāḏurī, Kitāb Jumal min ʾAnsāb al-ʾAšrāf, ed. Suhayl Zakkār & Riyāḍ Ziriklī [Beirut, Lebanon: Dār al-Fikr, 1997], Volume 4, p. 411)
This report was also quoted in:
Ṣibṭ Ibn al-Jawzī (ed. Muḥammad Barakāt & ʿAmmār Rayḥāwī), Mirʾât al-Zamān fī Tawārīḵ al-ʾAʿyan, Vol. 3 (Damascus, Syria: Dār al-Risālah al-ʿĀlamiyyah, 2013), p. 68.
ʿAlī b. Burhān al-Dīn al-Ḥalabī, al-Sīrah al-Ḥalabiyyah: ʾInsān al-ʿUyūn fī Sīrat al-ʾAmīn al-Maʾmūn, Vol. 3 (Beirut, Lebanon: Dār al-Kutub al-ʿIlmiyyah, 1427 AH), p. 118.
Tawṯīq ʿurá al-ʾĪmān fī Tafḍīl Ḥabīb al-Raḥmān of Hibat Allāh b. ʿAbd al-Raḥīm al-Bārizī (d. 738/1337-1338)
FURTHER READING
JESUS CHRIST – THE MUHAMMAD OF THE QURAN?
Answering Islam Blog 
There’s some spelling and grammar issues in the first paragraph:
“According to specific traditions, Muhammad was initially given the name Qutam by his paternal grandfather Abd al-Muttalib, but was subsequently changed due to an alleged dreamed thst Muhammad’s mother saw, which informed her that his name will be Muhammad”
“that name” should be after “but”,
“alleged dreamed” should be rephrased. I think there’s a word missing?
The word “thst” should be “that”.
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