"Die 4 toten wurden an Ort und Stelle begraben"
I understand that the four dead Americans were buried where (or near to where) they fell. Their identities should have been passed to the Luftwaffe and so on, but it makes it less likely that any local record exists.
"Als die Amerikaniscen Truppen um den 14. Aprill in unsere Gegend kamen wurden die 4 auf dem Felde begrabenen Toten Amerikaner eiligst von der Bevölkerung
auf einen Friedhof umgebettet."
The later re-burial by the local German population in the cemetery, as the US forces arrived, was entirely unofficial and as the elderly man says, due to fear of the American reaction.
By the way, though the rigging lines (schnure/cords) may have been valuable the old chap has probably forgotten that it was the parachute silk that was really sought after. My own grandmother still had silk from a German parachute, not from an airman, but a parachute mine, when she died!
Cheers
Steve