Complex sentence: The club came into problems in the early 1920s, but in 1923 came back, under the new name of Tadcaster Albion, the league committee placed them in the second level division of the York League, which they won that season and were promoted.
Split into simpler sentences: The club came into problems in the early 1920s, but in 1923 came back under the new name of Tadcaster Albion. The league committee placed them in the second-level division of the York League, which they won that season and were promoted.