As an aside, I'm getting to detest more and more how Google only seems to show current events. It's extremely difficult, if not impossible, to search for anything historical.
Pieced this together via:
1) "[...] named the Avenue Hotel but locally known as the Stringer’s Hotel" (https://en.m.wikipedia.org/wiki/Swante_M._Swenson)
and
2) "The Jan. 18 announcement indicates that The Avenue’s name is an homage to the original structure built on the site in 1880, the Avenue Hotel." (https://www.bizjournals.com/austin/news/2019/01/18/31-story-...)
Hickory St (now 8th St) is 3 blocks south of the Capitol.
I guess at some point the tree named streets were converted to numbered streets.
https://www.statesman.com/news/20171101/austin-answered-why-...