I'd say it's more likely your daughter is allergic to something the lab has rolled in, or the shampoo the neighbor uses. It's pretty rare to be allergic to dog hair by itself, especially if she is not allergic to your Dobbies. Some people are allergic to dander-saliva of a particular dog, which can be determined by doing a skin scratch test with different dog saliva. They do this when matching guide dogs, to owners. I've had a friend who's daughter was allergic to one litter mate and not another, so they were able to swap. But most of the time an allergic reaction to a dog, is something on the dog, pollen grass etc. Labs have longer coats than a dobbie so they are more likely to trap and hold allergens, in their coats. I will become allergic to my own dogs, red-rash,eyes and nose, if they've been running in certain fields, they have to be bathed before they get to come in the house.
My recommendation would be to thoroughly bath and groom the dog, be sure to use a shampoo that your daughter is not allergic to. Those anti-bacterial, just for dog shampoos, are the some of the worst when in comes to allergies. I often times cannot be around any dog, who has been bathed in them, as my throat tries to close. Also the dog has probably brought the allergen in and contaminated the whole area. So any testing you do in that area might be for not, even if you bathe the dog.
My recommendation would be to thoroughly bath and groom the dog, be sure to use a shampoo that your daughter is not allergic to. Those anti-bacterial, just for dog shampoos, are the some of the worst when in comes to allergies. I often times cannot be around any dog, who has been bathed in them, as my throat tries to close. Also the dog has probably brought the allergen in and contaminated the whole area. So any testing you do in that area might be for not, even if you bathe the dog.