I would like to fill in a couple of gaps for you as related to the 507th PIR and the 82nd Airborne Division in the 1944-45 era.
The 82nd had two Parachute Infantry Regiments (504th, 505th) all the way from training in North Africa (no combat there) thru Sicily, Naples-Foggia, Rome-Arno, Normandy, Rhineland, Ardennes-Alsace and Central Europe campaigns.(*)
Killed in Action, 1,619 Wounded in Action, 6,560 Died from Wounds, 332.
Major Omar N. Bradley, Mar 42 MG Matthew B. Ridgway, Jun 42 MG James M. "NUTS" Gavin, Aug 44
(*) Four additional PIRs were added during Jan-44 (507th, 508th, 517th, 551st).
The 507th was attached continuously, 14 Jan 44 to 1 Mar 45.
Shelby L. Stanton, author, WORLD WAR II ORDER of BATTLE, provides insight into the 507th's action durng this period. I quote:
"The division air-assaulted behind Utah Beach, Normandy, France, between St. Mere-Eglise and Carentan on 6 June 1944. The 504th. did not participate in this assault, but the division was reinforced by the attached 507th and 508th Para. Inf. Regiments. The division remained under strong German pressure along the Merderit River, and crossed with the 325th. Glider Inf. to secure a bridgehead at La Fiere 9 Jun 44.
On 10 Jun 44 the 505th PIR captured Montebourg Station, and on 12 Jun 44, the 505th PIR crossed the Douve River at Beauzeville-la-Bastile and reached Baupt the following day.
The 325th GI and 505th PIR reached St. Sauveur-la-Vicomte 16 Jun 44, and the division established a bridgehead at Pont l'Abbe 19 Jun 44. It then attacked down the west coast of the Cotentin Peninsula and gained Hill 131 on 3 Jul 44, then seized Hill 95 overlooking La Haye-du-Puits.
It returned to England 13Jul for rehabilitation."
Then came the Battle of the Bulge and Central Europe campaigns.
I will end my summary at this point since the 507th was not involved in 82nd ABD action from this point.