Here is what AI has to say about this figure:

This is an antique German Schafer & Vater figural porcelain liquor flask, titled by collectors “Fire Water.” The attribution is quite strong because I found the exact same molded fireman-and-hose design identified as Schafer & Vater, including the faux-wood bottle, raised FIRE WATER lettering, black-clad fireman, yellow speaking trumpet, hose, and the distinctive red helmet.

Schafer & Vater operated in the Rudolstadt/Volkstedt area of Thuringia, Germany and became particularly known for humorous and novelty figural porcelain, including small liquor bottles or “nips.” The firm operated from roughly 1890 until 1962, although these figural flasks are principally associated with the early decades of the 20th century. I would date your flask circa 1900-1920, probably toward the earlier portion of that range. Contemporary references describe similar Schafer & Vater figural bottles as saloon or liquor novelties.

Description

Your example is molded porcelain,  4 3/4 inches tall . The bottle itself is molded and glazed to resemble wood grain, with the raised words “FIRE WATER.” A smiling fireman stands beside it holding the hose nozzle, with the hose modeled in relief around the flask. He wears a black coat and red helmet and has a yellow fireman's speaking trumpet or horn tucked behind him.

One useful detail: the irregular-looking yellow crest on top of the fireman's helmet is not broken. I found an exact comparison showing precisely the same forked/notched molded configuration.  (NOTE:  I think it is chipped...DB.)

Even better, your flask retains its porcelain stopper with its cork, which is frequently missing. An exact example without the cork/stopper was recently offered at $34.99 and is now sold out, while another example of the Fire Water flask is currently offered at $165. Another indexed antique example has been advertised around $99.99.

Condition

From your photographs, I see no obvious major chips, cracks or repairs to the body. There is some normal surface dirt and minor paint/glaze wear. The unmarked white base is typical enough that the lack of a factory mark would not concern me. The original stopper substantially helps the value.

This is one of the more appealing Schafer & Vater drinking-theme flasks, and the original stopper is the little cherry on this porcelain fire hydrant