I am years away from restoring the bathroom but am nonetheless interested in learning all I can about it, and all I can about what an 1894 bathroom would have looked like for a house of the style/quality of the Cross House.
If I were to restore the bathroom now I would:
Recreate the wood tall wainscoting.
Install the type marble sink as shown above.
Restore the encaustic tile floor.
Install a toilet from 1950.
In 1950, a bunch of bathrooms were installed in the Cross House when it was converted into a motel. In the garage I have a stack of tubs from these bathrooms. I would install one in the bathroom.
Install period-correct lighting.
Obviously, such a bathroom would not look like the original. But the original bath is long lost. My version would look like an 1890s bathroom updated in 1950. Kinda fun.