Convinced that the pictured wrench was not a truck wrench, I sent a picture of it to the webmaster of the White Steamcar site.  Below is his answer:

Bob,
Thank you for your query.  That is indeed a White Steam CAR wrench.   It is for a White 1909 Model M car.  That wrench was used for both removing the hub caps and opening the gas cap.  Since the gas tank was pressurized to about 50 pounds this is a very important wrench to have.     All White parts, including the wrenches, have part numbers.   They all end in the model number, in this case a Model M.   The Model M's were made in 1909.  I have a Model M and would love to have this wrench if you ever consider parting with it.

Thank you
Mitch Gross

Very cool and about as rare as it gets.

Thanks,
Kirk

>opening the gas cap.... pressurized to about 50 pounds

Thinking carefully on those two phrases leads one to suspect the answer to the question of 'where did all those wrenches go?' may be.....'very very far'

Anybody wishing to see a White Steam Car can see a Model M and others at the site below.

http://www.whitesteamcar.com/White_Steam_Car_Registry/Model_M.html