[jiang]

Dear teachers,
I have three question to ask:

No.1
Her witness for the beauty and intergrity of life continues to inspire new gereations.

I can find the collocation of 'witness for sth'. Could you please explain it?

No.2
And even this, were it by some miracle possible would be futile.
I guess I can write the sentence this way:
Even if it were possible by some miracle it would be futile. Is that right? If it is, could you please explain 'by some miracle'? Does it mean ' when some miracle appears'?

No.3
In my grammar book there is an expression 'dangling participle'. Could you please give me an example to explain the term?

Looking forward to hearing from you.

Thank you in advance.

Jiang