That helps quite a bit. I still don't know about the 193rd Field Battery, as that is not a nomenclature which fits the usual designation for Field Artillery units.
That said, knowing that the 18th FA BN was part of 1st Army, then the way the vehicles SHOULD be marked (according to the regulations) would be as follows. As you look at the vehicle (either from the front or the rear) on the LEFT side as you are looking, you SHOULD see 1A-18F and on the right side, either an A, B, or C followed by a" -" and then a number. For example A-3. The vehicle number is supposed to be the vehicle's sequence in the column while in convoy, and without a photograph of the actual unit, there's no way for certain to know what number to choose since there is NO SOP which everyone used. The only number I can tell you NOT to use would be "1" since that would almost without question be the battery commander's jeep.
Field Artillery doctrine for movement during this period normally dictates that the BC's jeep is first, and then in most units, the Fire Direction Center vehicle (if there is one) is next. Then come the guns (or the prime movers towing the guns) and they are followed by the ammo, commo, supply, mess, and maint etc. This would have been a typical march order for WW II.
But one thing is for certain about US Army doctrine. It is NEVER followed to the letter by EVERYONE!! So consider it a "guide".
It is entirely possible that if the unit shown in the picture was some sort of numbered battery (and I have not been able to find any indications that there were any) that these vehicles could have been marked differently.
But without any documentary evidence to the contrary, no one should be able to say that a vehicle marked 1A-18F on one side and A-3 on the other is incorrect.
Looking forward to seeing the finished work.