Is it likely to have been an Me-410?
You don't say the time of the incident but the Allies detected a Ju 188 of 3.(F)/122 on might security reconnaissance from Grove, Denmark on the night of the 12/13th and again the following night.
Ju 88 night fighters were also based at Grove (I./NJG 3) and did sometimes operate against resistance-supply flights. There were Me 410s of Seentogruppe 80 at Westerland but whether those ever flew at night (or followed RAF bombers) I don't know.