To be honest, we always referred to any can that you could carry (with a built in handle) as a “jerry can”. 
Not only    but these as well. 

Can you reuse your original cooking oil containers?  If not, can you get a couple from another restaurant?  We used to get food grade jugs that had oil in them from local restaurants before we started food vending.  They were good to clean out and carry water for the pets when we camped… among other uses.

I am still in the planning stages now of my mobile truck.  Am trying to cover all the bases as far as knowing in advance every step I will take during production.  The HD may or may not have something to say about reusing the orginal containers.  I have put that question on my list of things to ask my HD.  Thanks to all for thinking of solutions. 

Yes, you can reuse oil containers.
Filter the hot oil into a stainless steel pot and allow the oil to cool down a bit.  Then funnel into the fryer oil jugs.
 
As for the extra deep, deep fryer, I have neve seen one manufactured that way.  Could that persn have welded some extra stainless steel around the sides to prevent oil from sloshing over?  Maybe it’s a custom turkey fryer?