Hello, The marks was clear enough in your original pictures. It is a spurious Qianlong mark. Qianlong marks were never stamped but drawn by hand, mostly in underglaze blue, with only a few in red. This mark was apparently applied with a stamp (possibly rubber stamp) in a light red or orange color. This is typical of 20th century products. The original vase cannot be called a fake, it is just a newer product. Marks are not usable for dating Chinese porcelain.
The style of the vase and painting was non-existent in imperial China (especially the flowers were different).
You could try asianart.com . They may be able to help with vintage and newer items, perhaps.