Translation and identification: the literal Chinese name 小汉瓦 reads as "small Han tile." This exact form name is not widely standardized in published typologies, so its precise historical lineage is ambiguous without more provenance or imagery. Below is a careful, general description and context.

Description (English, brief history and shape note)
Names that liken teapots to everyday objects or ancient artifacts are common in Chinese teapot-making. A name invoking "Han" and "tile" suggests inspiration from Han-period roof tiles or a Han-style aesthetic rather than a strict archaeological replica. Teapots of this kind are typically modern or traditional studio pieces that echo classical forms: potters borrow motifs from architecture and antiquities to create compact vessels suited to the gongfu brewing tradition.

Shape note
As the name implies, the form likely emphasizes a low, compact silhouette with a slightly arched or flat top reminiscent of a tile, often with clean planar surfaces and restrained ornament. Expect a modest capacity, a short spout and a balanced handle for single-session brewing. Material and exact proportions vary by maker; many similarly named pieces are executed in unglazed studio clays (e.g., Yixing-style zisha) but that cannot be assumed for every example.
Wood-fired handmade Yixing teapot made from Duanni clay sourced from the original Huanglongshan mine. Xu Shun Wei.