To be parallel, I would say: They had not only no money (Noun Phrase), but also no job (Noun Phrase). Or Not only did they have no money (main clause), but also they had no job (main clause) Or They not only had no money (Verb Phrase), but also had no job (Verb Phrase)
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.