The children were lying warmly and tightly in bed, while they were having sweet dreams; and momma in her bandana, and I in my cap, had just got ready to take a long winter's nap.
An informal register is used when speaking or writing to people we know well, like family and friends. There are no considerable rules in informal language, so it is appropriate to tell jokes and the use of slang, contractions, personal opinions, incomplete sentences and extra punctuation.
The sentence having an infinitive that functions as an
adverb is ‘By late in the afternoon, we were worried to hear the reports of the
storm. ‘ Here, the verb ‘to hear’ which is an infinitive as well was described
by and adverb ‘worried’.