Dear teachers,

When we have an adverb + verb in a sentence, how should they be parsed? Should the adverb and verb be in separate phrases or should they form a single verb phrase?

For example:

1) [She] [hardly] [touched] [her food]. OR [She] [hardly touched] [her food].

2) [I] [nearly] [missed] [my train] [this morning]. OR [I] [nearly missed] [my train] [this morning].

3) [He] [gradually] [insinuated] [himself] [into her life]. OR [He] [gradually insinuated] [himself] [into her life].

Thank you very much for your help.