John Walker built a virtual machine for the Babbage's instruction set, and it has a web emulator: https://fourmilab.ch/babbage/emulator.html.

I don't think Ada program is available as an example though, so you'll need to input it manually.

Fun fact: my compiler course project was creating a C compiler targeting the emulator https://github.com/Christopher-Chianelli/ccpa (warning, said code is terrible).

Not quite, but this emulates her program.

https://github.com/MarquisdeGeek/Ada-Origins

Here's a blog series where I get her program running on a modern computer using a simple transliteration to C: https://pairdebuggingwithlovelace.hashnode.dev/