[NEC_Avenue] Dragon Slayer series, what all games are a part of it

Ok, here's what I do know:
Dragon Slayer
Xanadu(Dragon Slayer 2)
Legacy of the Wizard(Dragon Slayer 4)
Sorcerian(Dragon Slayer 5)
Legend of Heroes(Dragon Slayer 6)
Legend of Heroes 2(Dragon Slayer 7)
Legend of Xanadu(Dragon Slayer 8)
Legend of Xanadu(Dragon Slayer 9)
Now, what game is Dragon Slayer 3?  I used to think it
was Faxanadu, but, that game is some sort of Gaiden, &
graphically, it's more advanced then Legacy of the
Wizard, so, it wouldn't make sense, unless it was
overhauled when brought over to the Famicom.  So,
anyone know?  3 is the only game in the series I don't
have, since I have the Falcom Classic's for Saturn, I
have Dragon Slayer & Xanadu, & Legacy of the Wizard
for NES, & then Sorcerian, LOH, LOH 2, LOX, & LOX 2. 

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