If the underlined phrase is <em>born in New York in 1856, </em>then that would be a participial phrase, which often functions as an adjective in a sentence, like is the case here.
Gerund is always used as a noun, and infinitive has the form <em>to + verb </em>(to go, to be...)
She ran in front of the car
The answer is C. prescribed to you by a doctor for treating stress
