The 'anlaytical engine' was partialy built, after a successfull smaller prototype, of which some of the original equipment exists, AND a full version has been built now, on the original plans, and after some refinement, works.
Dont know if the Lovelace algorythim has been coded and run through it, but we can be sure that they were on the right track, but operating in close to an absolute vacume, and would have had to fend off acusations of witch craft, idolitry, and the risk of bieng burnt at the stake, or worse.