Oh, well, I have been spinning around these kind of ideas for a while now, but do not seem to find the correct inspiration. I thought of the Moraceae, because the leaves do look so much like those of Ficus benjamina - but then the flowers and fruit arranged in spikes don't fit.
Prunus laurocerasus was also an option, but the leaves do seem quite different to me.
How odd, normally I hit a solution - but this time the name is really elusive.
Well anyhow thanks for your help - I will keep researching.