As the BhamWiki article notes, construction on the Hotel Hillman was completed in October 1901. Until the original Tutwiler opened in 1914 it was the city's showplace hotel. Located on the corner of 4th Avenue North and Nineteenth Street, the Hotel Hillman building remained until 1969. The BhamWiki article has a link to a Google Earth view of the site now--a parking lot. That article also has photos of the hotel around 1906 and 1926. This photograph comes from the wonderful 1908 book Views of Birmingham. The title page and a link to the book are below.
The hotel was named after Thomas T. Hillman, an executive of the Tennessee Coal, Iron and Railroad Company. As I have discussed in a previous blog post, he was a driving force behind Hillman Hospital.
This book was published in 1908 and can be found online via the Internet Archive.