The vinyl you got is the exact one of the first link you posted above. The "TLA-112". The second one says "vinyl within is not the one described on the sleeve" (it's weird because the website itself is not dedicated to records catalog but general collections). So "TLA-112" -
Title is "四句聯:大家恭禧"
Date is 1958.12 (the Taiwan webstie is wrong on this one, saying its prolly from 1971 to 1972)
Country: Taiwan (says 三重市, it's part of 新北市 now)
Tracklist: A1 - 大家恭喜
I don't know if it is single-sided or just normally double-sided (according to your photo and info from the website). But the vinyl itself is kind of weird, but I believe the track title is "大家恭喜", instead of "喜事專用四句聯". Explanation: "大家恭喜" means "congratulations", "喜事專用四句聯" means "Special four-sentence couplet for happy events", so the latter sentence is more like an extended explanation for the previous one.
Other info:
Executive producer - 劉長清
Composed by - 陳金樹, 雅菁