April 24,1945-27 FBG P-47D casualty of Me-262?

[kaki3152]

While looking at the 27FBG memorial list:
http://raf-112-squadron.org/27thfghonor_roll43-44.html

I came across this entry:"Hack, James E, two B-26 where shot down before the p-47 was able to react, but one of the enemy A/C was also shot down. This was a great result, because the B-26 has been jumped by four me-262! The b-26 survivors stated that three Me-262 jumped their planes: I guess that at least one of the four me-262 stated in the Lt. Hack MACR was shot down or was in fight before attacking the bombers. A last note: That Messerschmitt is believed to be flown by one of the major German aces, [Gunther]Ghunter Lutzow."

From the MACR accounts, Lt, Hack was definitively shot down by the Me-262s.
"Four Me-262s jumped the formation we were escorting and we broke into them. In the fight that followed, Lt. James Hack, my wingman, was lost to me. I did not see him again. I tried to call him but there was no answer. Other men in the formation saw a P-47 spin and a pilot bail out."

Lt. James E, Hack, O-2064040, was KIA and is buried in Ohio.

Does anyone have any further information?