The two Paths that Cross at the River Haley wantes to be sure that each word in the title of her story is correctly capitalized

1. She should capitalize "two" because it is an adjective.

Explanation:

The above is the change that would be correct. In capitalization of titles, it is important to note that the first and last words of the title should be capitalized. Also, all nouns, pronouns, adjectives, verbs, and adverbs should be capitalized. Articles (a, an, the), prepositions and coordinating conjunctions should be lowercased.

When "two" is used to modify a noun/noun phrases or pronouns, they act as adjectives. The "two" should be capitalized because it is an adjective, modifying the noun "Paths".