What properties of stars were known at that time?
But-- if they knew distance (via parallax), they knew LUMINOSITY.
For most stars, spectral types
(essentially temperature) and LUMINOSITY (=Absolute Magnitude),
were found to be related in a very unique way:
This diagram was to be known as, The Hertzsprung-Russell (H-R) Diagram,
named after the astronomers who discovered this relationship.
80 years ago, We knew nothing of how the Sun or stars worked. Research at
that time merely plotted stellar properties against each other, looking for
possible patterns.