The word <em>wishing </em>is used as a participle in this case. Although gerunds and participles look the same, they are used in different senses - gerunds generally denote nouns, whereas participles have more of an adverbial meaning.
It is false that the Gibbs family owns the blanket factory. It is Mr. Cartwright who owns the blanket factory.
it could be with or to it means the same thing most people use to