QUESTION: New York corporations

I'm trying to investigate a New York state company, in order to ascertain whether it is the parent of two other companies in CA and KS (both being ethically challenged) which have the same name.

The first logical thing to check was the NY secretary of state's office, via their website and then by phone. Alas, that office only keeps on file a name & address for each company.

Do you know where I might look next?