Speaking to an ER doc that was dealing with the remnants of a deer tick that was in my side a few weeks ago, he said that the best thing to do is grab the tick as close to the skin as possible with a pair of tweezers and pull at a constant, non-jerking rate away from your body. If the head isn't buried, great. If not, there's nothing else you could've done about it. The least trauma to the tick will cause it to secrete the least amount of cement into the wound. Matches aren't good, nor is yanking, or vaseline (it's not going to suffocate the tick). Even if you don't get the head out, assuming the tick is undiseased. as long as you keep up with your antiseptic applications and keep the wound area clean, your body will heal over eventually break down the tick head. The "cement" will last longer and may cause constant irritation, warranting a possible dermatologist appointment.
Dog ticks do not carry Lyme disease, only Rocky Mountain Spotted Fever. If you find a deer tick in you, make sure the health care professional puts you on a rigorous antibiotic (tetracycline) schedule PRONTO!!!!!! A prophylactic dose of antibiotics started w/in 72 hours of being bitten almost guaranties knocking out any Lyme disease that you may have contracted. Tests for Lyme titers might not give a positive reading until 1-2 months after being bitten, so being tested for the disease immediately is likely to give a false negative (bad). Also, it is impossible to test a tick corpse for Lyme disease.
Sorry for the public service announcement, but I was lucky with a deer tick bite and don't want anyone to suffer due to common misunderstandings of the disease.