If You Could Live In Another Decade,...
ChatterBank3 mins ago
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http://www.dogbreedinfo.com/bedlingtonterrier.htm
I think what they had was a Bedlington terrier
Sorry, but the Kenel Club is the last place you will find a breeder of mongrel labradoodles! You do not know which type of coat or temperament you are going to get,and as both breeds have health problems you will probably not get one with all the health checks done.
By all means get a crossbreed or mongrel, but don't try to disguise it as a 'designer' breed by giving it a fancy name. And please don't pay a fortune for it - that will only encourage the puppy farmers to breed more.