Question

had a stray dog not have given them away.
what's the grammatical name n function of the sentence?

Answer 1

In the first place, it's a clause, not a sentence.
Also, it is not even syntactically correct.

A valid clause might be

<u>had a stray dog not given them away</u>, ...

a use of the subjunctive, equivalent to

<u>if a stray dog had not given them away</u>, ...

Answer 2

Noun clause

Answer 3

What sorts function

Answer 4

It is an adverbial clause

Answer 5

Adverbial clause

Answer 6

Adverbial clause

Answer 7

Adverbial clause

Answer 8

Noun clause

Answer 9

Adverbial clause of time

Answer 10

Adverbial Clause

Answer 11

Adjectival clause

Answer 12

Adverbial clause

Answer 13

Complex Sentence

Answer 14

Noun phrase