Does it come with the metal rod inside the one that controls the fuel

The one I received was a complete replacement for the original generator, including the rod.

Will the 414-5621 work on a 3 burner stove

My guess is that it would. The 3 burner Coleman’s were rare and I can’t imagine that the company would have produced a separate generator for that unit.

Do you have a nomenclature for this item? - What is it?

It's the 'Generator' for a Coleman gas stove. It converts the liquid gasoline fuel to vapor so that the burners on the stove can function. Much like a carburetor on a car engine.

Which generator do I need for #425E499 2 burner Coleman stove?

Check Amazon, you can find that part there but there used. I have the same stove. I have found the complet fuel tank there also but again, used. Good luck on your search.

Color	Multi
Size	One Size
Fuel type	Coleman liquid fuel or unleaded gasoline
Material type	Brass
Power source	Natural Gas
Features	Temperature Control
Included components	Camping Stoves Accessories & Parts
Batteries included?	No
Brand	Coleman
Manufacturer	Coleman
Item model number	414-5621
Product Dimensions	35 x 1.5 x 1.5 cm; 85 g
ASIN	B000J048WM

Coleman Unleaded Stove Generator

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