In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.
As Muslims, we are advised to keep good names for our children, since the name of a person has an effect on his traits and characteristics.
The name Nauman means a bright red rose firm like blood brothers. (Mosuatil Asmaaih – Uthman Muhammad Ali – pg.- 133)
This was the name of Imam Abu Hanifah (RA) and also the name of a Sahaabi Hadrat Abu Hurairah (RA). (Names for Muslim Children; Ml. Ahmad Mohammad Hathurani – page 82)
The name Saleha (Saaleha) means righteous, honest. (Mosuatil Asmaaih – Uthman Muhammad Ali – pg.- 63)
The name Firdaus means paradise. (Names for Muslim Children; Ml. Ahmad Mohammad Hathurani – page 68)
It is permissible to give the name Saleha Firdaus to your daughter. Furthermore, it is also a good name to keep for your daughter.
And Allah Ta’āla Knows Best
Mufti Saeed Ahmed Golaub
Islamic Solutions
Jamaica