An engraved gift lamp flower would likely refer to a lamp that is shaped like a flower, and has been engraved with a message or design. This could be a decorative table lamp, floor lamp, or even a hanging lamp. The flower shape could be made of wood, glass, or other materials. Engraving could be done on the petals, stem, base or shade of the lamp. It would make a unique and personalized gift for someone who appreciates nature-inspired decor or collectible lamps.