Headquarters Battery, 2d Howitzer Battalion, 3d Artillery was Battery B, 3d Armored Field Artillery Battalion prior to being expanded, reorganized and redesignated under the Combat Arms Regimental System (CARS). The system was being implemented during the period you're referring to. (22d Armored Field Artillery Battalion was consolidated with other units to reconstitute 22d Artillery which also beame a parent regiment under CARS.)
The division was constituted and organized for World War II service but remained active for many years beyond the end of the war (Elvis Presley served with the division's 1st Battalion, 32d Armor at or about the time frame you're researching).
The division veterans association's membership may be predominately World War II, but is open to anyone assigned or attached to the division at any time during its period of active duty (about 50 years). The association maintains an extensive, multi-page 'site and may be able to assist in locating former comrades: