I suggest a Hemerocallis (so-called day lily)for the 'lily'. Not all privets are trees; the foliage in your photo looks rather like 'common privet' (Ligustrum vulgare) which has furry shoots too. It's not Chinese privet because it's leaves have plane edges, not undulate. It's still used as a hedge plant. The Flora of NZ Vol.4 says it is deciduous but in mild climates in NZ it seems to be only partially deciduous. Colin