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					Originally Posted by livingdustmops  May I ask how old your children are?  How are they around the dog?  What does the dog do with them?  Where does he sleep?  Has he been swatted at?  How big is he?  Do the children mess with his food?  What training did you do with him as a puppy?
 This is a very, very serious situation and you need professional help.  If you give him away he easily could bite other people and will be put down.  PLease do not experiment with your dog from suggestions on YT.  Even most rescues will put down a biter.  While YT members do want to help in this situation it would appear to me that you have a very fear driven dog along with other issues.  Very few YT members have ever dealt with a Yorkie that will bite like you explaned.
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  I agree totally that this is a serious issue .I had forgot about this but my hubby's son and wife had a jack russell like this . They had a professional trainer in the house etc. Part of the problem was he was allowed on the beds and couch.  They were expecting a baby so in the end they did manage to rehome him with someone who was totally aware of the problems he had. It can be done but the person taking the dog must be told  and be aware of what the issues are.  
Yorkie rescues will take dogs like this as well if you are willing to  not get any money for them and also they will ask you give them a monetary donation for the rescue.