Regardless of whether Gsusjunkie is sure about his statement or not, I am 100% sure that you took that verse 100% of context. Isaiah 34 has absolutely NOTHING to do about lacking a mate. That chapter is about judgement on sinful nations, and how God will eventually lay all of them so desolate that the only things that will inhabit their lands are UNCLEAN ANIMALS. Read the whole chapter, and Isaiah lists all the animals that will inhabit the lands of sinful nations after God has laid waste to them, and they are animals that are listed as unclean in Levitical law. The specific verse you reference has Isaiah pointing out that every single one of these unclean animals will not lack for a mate, so that they can basically populate and take over the land.
That verse had absolutely NOTHING to do with God promising us "The One."
"The One" is NOT Biblical. Christ makes this perfectly clear when He deals with the Sadducees' question about the widow with seven husbands.