Albert Barnes Commentary Isaiah 26:8

"Yea, in the way of thy judgments, O Jehovah, have we waited for thee; to thy name, even to thy memorial [name], is the desire of our soul." — Isaiah 26:8 (ASV)

Indeed, in the way of your judgments - The word ‘judgments’ often refers to the statutes or laws of God. But it may also refer to the afflictions and trials with which he visits or judges people; the punishments which they endure for their sins.

It is not easy to determine in which sense the word is used here. Lowth understands it as the ‘laws’ of Yahweh. So Kimchi, who says that the meaning is that during their captivity and trials, they had not diminished anything of their love and piety toward God.

I am inclined to believe that this is the true interpretation, because in the corresponding member of the parallelism they are represented as saying that the desire of their soul was to God, and to the remembrance of him, implying that they sought by an observance of his laws to please him, and to secure his favor.

The desire of our soul is to your name - The word ‘name’ is used here, as it is often, to denote God himself. They desired that he would come and deliver them; they earnestly wished that he would manifest himself to them as their friend.

And to the remembrance of you - The word ‘remembrance’ (זכר zēker) is often equivalent to name, appellation, or that by which anyone is remembered or known. Thus (Exodus 3:15): This is my name for ever;
And this is my memorial זכרי zik^eriy unto all generations. So (Psalms 30:4): Sing unto Yahweh, O ye saints of his;
And give thanks at the remembrance of his holiness. That is, at his holy memorial (marginal note) or name. In the passage before us, it seems to be used in the sense of name or appellation; that is, that by which God would be remembered or known.