Curaga,
  Thank you for taking the time to reply.  I'm not convinced that this is a 486 class CPU.  From what I read on Wikipeida, the Vortex86DX is a i586 class device.  "Any i586 code will run on Vortex86DX and later." 
Granted, Wikipedia isn't the best source of information, but that is all I can find regarding the CPU class.
  Assuming, that you are correct, in order to compile for a 486 I would go with:"gcc -march=i486" on my other box?  Also, it isn't just compiling that I am after, but debugging as well, so I would need to compile GDB with this same -march option?
Am I on the right track?