Featured Green Vase 5.75" tall (3" widest)

Please help with identifying this with mountains and a deer? The images are subtle, and slightly raised. The labels were removed, but I took photos to perhaps help with ID. Thanks for looking!

 

Yoohoo! @Couch Potato Wannabe Is this anything you can decipher?

Lovely vase & olde tyme stickers.

 

Celadon glaze, seems to be multiple of this size and scene out there....here's one...

https://www.ebay.com/itm/373069566985

Most listings I see say chinese, and very well could be, but it kinda looks like some Thai celadon I've seen. Either way, i think a fairly recent mass produced item, not that it isnt pretty.

 

Antique or vintage, it's still a beauty!

 

You can you show a closer photo of the text in each of the two labels with Chinese on them? Assuming you still have the labels, I know they were removed.
The first three characters are 木公鹿, which are speaking of trees/woods and deer/stag.

 

Here's a different shape and size item with the exact same design.
eBay Listing - Going for US$399.99
CHINESE 10.5" CELADON VASE with INCISED DEER & MOUNTAIN SCENES
Celadon = A grey-green glaze used on pottery, especially that from China.

https://www.ebay.com/itm/CHINESE-10-5-CELADON-VASE-with-INCISED-DEER-MOUNTAIN-SCENES-/381262695641
Listed as Age 1900-1940

This item had a Seal Script Stamp Mark on it. Does your piece have any mark, either printed or indented into the glaze anywhere?

 

Here is another vase being shown on Worthpoint.
There it is stated to be from the Song Dynasty which started 960CE and lasted until 1279CE.
https://www.worthpoint.com/worthopedia/antique-chinese-song-dynasty-celadon-220290717

 

Trying to see if I can get the pic to show:

 

I'd bet a whole lot of money neither the vase in that listing nor OP's vase are Song dynasty.

 

Many items do get misattributed to different time periods and even incorrect makers. You really are relying on the appraisers' knowledge to correctly identify your piece and therefore be able to assign a correct value.