I did not find the exact name, but here are the nearest forms I could find.
The latter forms are off by an extra consonant and that means they are probably not right since consonants are rarely dropped. But the first name, it is the form I personally believe to be your name. The 'h' is a rather ephemeral letter in European languages, and could easily be dropped (for instance, "Daniel" was rendered "Danihel" in Latin).
Asahel- "creature of God" or "made by God"
Asiel- "the work of God" or "created by God"
Azazel- word/name meaning 'scape-goat,' but literal translation unknown
Azriel/Asriel/Azareel/Asareel/Ashriel- "help of God" or "whom God helps" or "the beatitude of God" or "vow of God" or "whom God hath bound (by an oath)"
It you want to investige the Biblical sources further or double check my results, go here (it's a great site):
http://bible.crosswalk.com/Dictionaries/HitchcockBibleNames/