This library, in She’eb Banu Hashim in Mecca sharif is sited on the place where the Prophet ﷺ was born on Monday 12 Rabi’ al-Awwal (April 22, 571 CE), in the Year of the Elephant.
It is widely accepted that the library built in 1951 sits on the site where Prophet Muhammad ﷺ was born.This place is also known as House of Prophet Muhammad ﷺ as it is where the original house of the parents of the Prophet Mohammed ﷺ was and where he was born.
In front of this was house of His wife Khadija سلام اللہ علیہا now a days same is open area.

Before the Saudi control of Hijaz, there used to be a domed mosque, which can be seen on historical photos.

Story of Birth of Prophet Muhammad ﷺ

The Prophet’s ﷺ father Hz. Abdullah رضي الله عنه died about six months before his birth. Thus, the Prophet ﷺ was born an orphan.While his mother Bibi Aminah رضي الله عنها was pregnant, she had a dream that a light was emitted from her lower body that illuminated the palaces of Syria.When she went into labour, Bibi Shifa bint Amr رضي الله عنها, the mother of Abdul Rahman bin Auf (may Allah be pleased with her) served as midwife.

Hz. Abdul Muttalib رضي الله عنه received the news of his grandson’s birth with joy. He took the newborn to the Ka’bah and invoked Allah’s blessings and thanks.Believing his grandson would grow up to be highly praised, Hz. Abdul Muttalib رضي الله عنه named him Muhammad ﷺ, which means ‘he who is praised’.In keeping with Arab tradition, he then shaved the baby’s head and afterwards invited his fellow Meccans to a feast.According to the report of Abul-Fida, when the people asked Hz. Abdul Muttalib رضي الله عنه as to why he called his grandson Muhammad ﷺ, preferring it to the names of his forefathers, he replied, “It is because I have a longing that my grandson should be praised and commended by one and all in the world.”