. . . . . . . . night being sharp and frosty, we trembled from . . . . . . . . foot to . . . . . . . . Head.

The correct answer is Option B: the, no article, no article.

Let's break down why for each blank:

Blank 1: '. . . . . . . . night'
Here, the sentence is talking about a specific night. We know it's specific because the sentence immediately describes its condition: "being sharp and frosty". When we refer to something particular or already known, or when we describe it further, we use the definite article 'the'. It's 'the night' in question, not just any night.
So, the first blank should be 'the'.

Blank 2 and 3: 'from . . . . . . . . foot to . . . . . . . . Head.'
This is a very common idiomatic expression in English, similar to "from head to toe". It means 'all over the body' or 'from top to bottom'. When we use such fixed phrases or idioms to refer to parts of the body in a general sense (meaning the entire body of a person), we typically do not use any articles (neither 'a/an' nor 'the').
The correct idiom is 'from foot to head' or 'from head to toe'. Adding 'the' or 'a' would make the idiom sound incorrect and unnatural.
So, the second and third blanks should have 'no article'.

Putting it all together, the complete sentence is: 'The night being sharp and frosty, we trembled from foot to Head.'