In the English language there are a few true oddities. Most words can be traced back to Old Germanic, Celtic, Latin, even Sanskrit roots. ‘Dog’ is different, peculiar to these shores. Nothing Canis-Chien or Hund-Hond here.
Nevertheless, the prefix dog shares a common use with North European versions of Hund-Hond. As a pejorative.
The plant you see here, quietly getting on with its business on the margins of the Forest is Ground Ivy. It has been known by several names over the years, Creeping Charlie is one but centuries ago it was also called Dog Ivy. Like Dog Violet there is no canine connection, it signifies ignoble, lesser, false.
And this is the characteristic it shares with Hund-Hond. In Dutch this plant is called Hondsdraf, the suffix refers to the dregs of the brewing process after the plant's pre-hop use as a flavouring for ale. German does likewise but with other plants like Hundskerbel. Dog Chervil, looks like chervil, but useless, undesirable.