Quotation Mark Errors

Can one miss the darkling reflection of the Beckford character's "insolent desire to "penetrate the secrets of heaven" in both "Alastor" ... 

The quotation marks here are a bit strange. I believe there should be another pair of quotation marks after "desire"? So it will read, instead: 
Can one miss the darkling reflection of the Beckford character's "insolent desire" to "penetrate the secrets of heaven" in both "Alastor" ... 

But I'm not actually sure if the quote before "penetrate" is in error instead. Any ideas? The whole quote is rather confusing.