About pronunciation and writing of Asiatic lion / Singh in Hindi

It is pronounced and written in Hindi as:  "Sa" with a small "Ee" ki Matra before it, with a point on top suggesting half "Na" and then full "Ha. 

As in English you cant write the exact word, after English came they wrote the word as "Singh", but Gujaratis in Gujarat write and pronounce it completely different, its a different language. They write it and pronounce it close to "Sinnh", their Sinh means Asiatic Lion too but is not spelled as or written the same as Hindi.

There is also a surname in Mair Rajputs which is Shinh, that is Asiatic Lion too, again it is different word but this is not a middle name, it is the actual surname / family name from Mair Rajputs.

Hope that helps