No. Aleve, ibuprofen, tylenol and motrin should not be given to dogs. They can be toxic to dogs. The only safe over the counter pain reliever is buffered aspirin such as used by heart patients. However, read below on why you shouldn't give aspirin in this case. Buffered aspirin can be given to a dog with a dosage of up to 5-10 mg per pound every 12 hours for pain if a tooth is the issue.. Keep in mind that a dog's body does not metabolize aspirin in the same way as a human and thus should not be given more than a day or two without contacting your Vet. Read side effects and precautions here.http://www.petplace.com/drug-library/acetylsalicylic-acid-aspirin/page1.aspx
You can read about the toxic affect of aleve (Naproxen) here:
This is a direct quote from the above site. "Naproxen can result in stomach ulcers at a dose of 2.5 mg per pound (6 mg/kg) daily. Naproxen can result in kidney failure at a dose of 7 mg per pound (15 mg/kg)."
So as you can see, 220mg of aleve would be able to cause ulcers and depending on your dogs weigh even more problems. I would have my dog seen by your vet and not give aspirin since aspirin can aggrevate an ulcer condition..
Hope this helps.
Aspirin has blood thining properties. That could be dangerous if your dog develops ulcers due to the overdose of Aleve. So you have to check your dog's weight and see if she has had a dose of Aleve that was large enough to cause ulcers. For instance, if the aleve was 220mg, then a dog that is 88 pounds or smaller would have consumed a large enough dosage to cause ulcers. That same dosage could cause kidney issues in dogs that are 35 pounds or less approximatey.
So if your dog could be developing ulcers as a result of the Aleve that was given this morning, you would NOT want to give aspirin now.