I was listening to the audio version of Our Witches at War 1 again tonight, having reached the point where Eila shows up. I initially interpreted the "brought a vehicle" line this way:

"What was important was that she was here and she brought a beagle."

My brain caught up with "Huh, what's Wolfgang doing there- oh, right, vehicle" a moment later. The idea that what's important about Eila randomly turning up is she brought Wolfgang with her seemed too good not to share, though.