NOUN is the infinitive phrase used in this sentence.
What is an infinitive phrase?
"An infinitive phrase is a group of words consisting of an infinitive, a modifier or the use of pronouns, direct objects, indirect objects or complements of action or state expressed in the infinitive."
The infinitive phrase in this sentence is "to find shelter". The infinite phrase here is used as an object due to the fact that it is governed by the verb "ran". In literature, an object is defined as a noun/pronoun that is governed by a verb or even a preposition.
Hence the correct choice is NOUN.
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Mrs.Bennet is a character and a static one at that, she goes back and forth between liking Mr. Bingley and being over the moon about the appearance of him which just goes to show how absurd she is about the whole thing. "<span>At our time of life it is not so pleasant, I can tell you, to be making new acquaintances every day; but for your sakes, we would do anything." I would think this part of the passage suits the issue quite nicely as she gushes on about how they would do anything to get their daughters married even at their age.</span>