Asian Vase

I know about as much about it as you do but googled and found the deer heads are a common motif. The most expensive one I saw was a solid glaze, no scenes and was $15,000. I think yours is probably a 20th century decoration item. If the pic of the stamp on the bottom were more clear we might be able to tell the maker. I did not find your exact vase but will leave some links here from eBay to show one selling for a lot and one selling for $80. https://www.ebay.com/itm/11-Marked-Chinese-Famille-Rose-Porcelain-Flower-Bird-Deer-Head-Pot-Bottle-Vase-/324210080318?_trksid=p2385738.m4383.l4275.c10 https://www.ebay.com/itm/Chinese-Famille-Rose-Vase-Deer-Head-Handled-Hexagon-Shaped-Hand-Painted-12-Tall/254758422828?_trkparms=aid%3D111001%26algo%3DREC.SEED%26ao%3D1%26asc%3D20160908105057%26meid%3D341c1cf1067043aea91c381a79c637f1%26pid%3D100675%26rk%3D2%26rkt%3D15%26mehot%3Dnone%26sd%3D324210080318%26itm%3D254758422828%26pmt%3D1%26noa%3D1%26pg%3D2380057&_trksid=p2380057.c100675.m4236&_trkparms=pageci%3Ad4550458-1ba4-11eb-a03c-867dc09a2e98%7Cparentrq%3A7fdd9d271750aad697455cc0fff7ecc9%7Ciid%3A1 I think @Lovejoy will come in and have a better answer.

more pics of the mark