Come si dice "So I ri-found one for borrowing?"
Quindi, ho cercato di nuovo un altro per prestarlo.

[ I found one , but I could not borrow, so I re-found another one . I was in the biblioteca]I find one book, but this book I can not borrow from the library. I have to put the book back and go to find another book .
Ho cercato un altro per prestarlo. E' giusto?

Question

Come si dice "So I ri-found one for borrowing?"
Quindi, ho cercato di nuovo un altro per prestarlo.

[ I found one , but I could not borrow, so I re-found another one . I was in the biblioteca]I find one book, but this book I can not borrow from the library.  I have to put the book back  and go to find another book . 
   Ho cercato un altro per prestarlo.  E' giusto?

Answer

maybe you want to say "refund" means "restituire"

Answer

"Ho dovuto cercare un altro libro da prendere in prestito."
borrow = prendere in prestito
lend = prestare / dare in prestito