I have not seen any references to the adoption agency touching the child.
If that is correct, then it could be seen as assault.  However, charging a
fee for having the dog "fixed" would not be fraud.  It is common practice
for adoption agencies to charge a fee, which is really a deposit.  Once the
cat or dog is spayed/neutered, a receipt from a vet will serve to get a
refund from the adoption agencies.  Unfortunately, many people paid the fee
but never did have the pet spayed or neutered.  As a result, many adoption
agencies now arrange for the procedure themselves.  But we can't really say
that it was fraud in this case unless the agency took the fee and claimed
that they were going to have the procedure done themselves.  You may have
seen more detailed articles, but I haven't seen any that specifically
address either of the points you raised.

MaryL