“Muy de la garganta” is a  tango composed in 1903 by Manuel O. Campoamor.  Manuel O. Campoamor  (1877 – 1941) composed some of the earliest published tangos. “Muy de la garganta” is his seventh published tango. It is dedicated to José Vazquez, Director de la rondalla de La Armonia.
<bdi><a href="https://en.wikipedia.org/wiki/en:Manuel_Campoamor" class="extiw" title="w:en:Manuel Campoamor"><span title="Uruguayan musician (1877-1941)">Manuel Campoamor</span></a>
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I scanned the sheet music (published in 1903)