The real photo postcard (which was postmarked 1909) has an unusual Ebay description because of its hard-to-read inscription. It's listed as "LORAIN SOUTH HOLLORAIN SOKOL CLUB HOUSE BUILDING."
I thought that the building was in South Lorain, until I found a mention of it on the Lorain Public Library's online history. For the year 1908, there is a line that reads, "The Czechoslovak Society of America builds Sokol Hall on Kelly Place." That put the building on the west side, west of Reid Avenue between W. 23rd and W. 25th Streets.
The 1947 directory still had the building listed as Sokol Hall, but as of the 1950 edition, the listing changed. It was now identified as Youth's Center for a few years before the address went vacant through much of the 1950s. The building returned to its roots by the early 1960s, when it became home to the Czech Society of America Hall. It continued with this listing until 1967, when it became Wings of Faith Church.
Today (below), the 2400 Kelly Place address is home to Ministerio Pentecostal Luz De Salvacion.