She was the only surviving daughter of her father and his first royal wife. Her sister did not survive infancy, and her brother died young. His second wife had a son.
She was 10 when she drew Moses out of the water. Being a similar age to Moses and going on to lose other family members, they were probably very close.
Her father married her to her half-brother Thutmose II when they were 14 and 15 years old. He wanted them to rule together, and her half-brother's place was secured through this marriage despite him not being the first born son. They ruled together for 13 years.
She was pharaoh when Moses lived with her, so he was literally a prince of Egypt. She dressed as a man and took on male duties, and she was responsible for some of the most prominent building projects in Egypt. She was a strong leader and may have been able to protect her Hebrew son.
She had a biological daughter with her husband, but this daughter died roughly 16 years into Hatshepsut's reign.
Thutmose II had a second wife, Iset, who had a son Thutmose III.
Thutmose II died when Thutmose III was 2.
Hatshepsut, age 27, was named regent over her 2-year-old stepson Thutmose III. Moses would have been 17. There was a huge move to destroy any Egyptian detractors.
They ruled together for 22 years until her death at age 51. Moses left Egypt right before she died, around age 40.
Thutmose III ruled for 30 more years after she died.
Moses returned to Egypt at the age of 80, during the reign on Amenhotep II, the son of Thutmose III.
(My friend who is into biblical archaeology)
Bible (she is unnamed in Scripture)
Surely, Pharaoh's daughter (Mose's adoptive mother) should top the list of righteous Gentiles, courageously and compassionately delivering a child from death, a child who would one day act as Israel's great deliverer. But her adopted son, whom she had taken care of for forty years, had to flee his home in Egypt in order to escape Pharaoh's wrath. (Exodus 2:1-10)
(Women of the Bible: A One-Year Devotional Study by Ann Spangler & Jean E. Syswerda, 2015.)