Hi Melissa,welcome to the forum,
There is very little info available for the individual Engineer Petroleum Distributing Co`s.
The 1377th has campaign credits for Northern France - July 25, 1944 - September 14, 1944
and Rhineland September 1, 1944 - December 18, 1944.
The best way to get the info on the unit is to contact the National Archives for unit rosters, morning reports, operational reports, etc. You can find the contact numbers & adresses for NARA & how to request the documents in the Research section of the forum,
There is no association for the 1377th, but there is one for a possible "sister" unit, the 1374th, who may or may not have info on other units.
1374th Engr Petrol Distr CO
Mr. Hugh B. Rhodes
208 Keen Avenue, North
Estill, SC 29918
(803) 625-3741
The book reference Colin gave you is an excellent source of information.
Another book is Fuel To The Troops, by John G. Sullivan
Some online reading: HyperWar:Logistical Support of the Armies, Vol 1 Chapter 7