I found this information on the web:-
Between June 1944 and March 29, 1945, a total of 9,251 V1 flying bombs were launched against England. Only 2,419 of them made it to their intended targets. Over 2000 of them had been shot down or knocked off course by Royal Air Force fighter aircraft. Spitfire pilots learned that by placing the wing tip of their fighter plane underneath the V1's outer wing, that this would often upset the missile, tumble the gyros, and send it crashing out of control into the English countryside. An additional 1,971 V1's were shot down by anti-aircraft guns and 278 were snagged by barrage balloons that dotted the approach paths to the south of London.
and this:
1944
31 January : The 357th Fighter Group moved to RAF Leiston exchanging with the P-47D "Thunderbolts".of the 365th, 366th 367th squadrons in the 358th Fighter Group. The 358th was also transferred into the Ninth Air Force. At Raydon the group's mission was to attack enemy communications and fly escort missions with the light bomb groups of the 9th.
April 13 : The 358th transferred to RAF High Halden.
April : RAF Raydon transferred to the 8th AF control and The 350th, 351st 352d Squadrons of the 353rd Fighter Group, transferred in from RAF Metfeld, The 353d was assigned to the 66th Fighter Wing, at Sawston Hall, Cambridge.
July : During the Battle of Normandy, the 353rd supported the breakthrough at Saint-Lô
September : The group received the Distinguished Unit Citation for supporting the airborne attack on Holland when the group contributed to the operation by protecting bombers and troop carriers and by strafing and dive-bombing ground targets.
October 1944, the group converted to the P-51 "Mustang". About this time Raydon was known colloquially as "Bomb Alley" due to the number of German V-1 "Doodlebug" flying bombs which flew directly overhead on their way to London. One V-1 blew up as it went over and the engine narrowly missed the bomb dump in Raydon Great Wood.
December 1944-January 1945 : The group continued its fighter-bomber, escort, and counter-air activities, participating in the Battle of the Bulge
and this:
Operation Crossbow
In the predawn hours of June 13, 1944, a jet-propelled German missile, designated the V-I, left a launching pad in the Pas de Calais area of France and sputtered across the English Channel, landing near the center of London. Within twenty-four hours, the Germans launched almost 300 of these flying buzz bombs against the United Kingdom. The Allies react- ed, under the operational name of Crossbow, by attacking the launching sites with fighter-bombers. Later, in addition to using fighter patrols, radar-controlled antiaircraft guns, and barrage balloons, the British re- quested the use of heavy bombers to destroy the launch sites. Spaatz objected to the diversion of his heavy bombers away from the strategic mission, but in response to British losses Eisenhower ordered Spaatz to attack the launch sites.
In September 1944, the problem worsened because the Germans began launching the V-2, a rocket-powered ballistic missile that flew at almost 4,000 miles per hour and descended without a warning noise. The Allies responded by bombing not only the launching sites but also the support installations. Regrettably, these bombing attacks were largely ineffective and the German "vengeance" weapons were not neutralized until the Allied ground armies overran the launch sites. The raids cost the lives of more than 700 Allied airmen and destroyed at least 154 aircraft.
But, I cannot find specific reference to the USAAF engaging the 'flying bomb'....
Unless 'Allies' includes the RAF and USAAF.
I'm intrigued...
Cheers
John