Ticks... it's why I take my credit cards with me in the woods... seriously.
I've done a lot of hiking and camping, especially when I was a young scout. Tick nips (the pliers with the specially shaped head for removing/scooping ticks have my respect, they are the best for the squeamish and uncooperative.) or a credit card with some neosporin is what I've always done on trail with good results (just a very strong (don't break your card, but almost), steady scrape and it's done). Flame/heat works 50% of the time in my experience either b/c of two things: 1) the dang tick is just too happy to leave and doesn't care that it's lower half is on fire or 2) you accidental burn the critter too fast and too much and kill it with it's head still in you... also inadvertently burning the "patient" most of the time when you do that. The suffocation methods (butter/margarine/petrolium-jellys) are too slow IMO, and you get that natural itch/tendency to pick/touch/scratch at something the back of your mind knows is there.
a lit cigarette works great for leeches - will ticks disengage when things get hot too?
Yes, if you know how to do it right, cigarettes and... other rolled and smoldering things... are very good and probably the best heat-removal tools sometimes available in the woods. Leeches (especially the healthier sized ones) you typically directly burn to have them release, but with ticks you do not want direct heat (touching), as this will likely burn you and kill the tick before it has a chance to pull anchor. Just floating above/next to it with the cigarette cherry, blow the ash away as necessary and just keep a nice barely-tolerable-roasting temperature (typically 2-5 minutes... so if you're lucky you'll get to smoke the last half of your stoge, but likely won't), and have a little patience or you'll kill the more stubborn ones... and then it's the credit-card method, and half-incinerated ticks just aren't as pleasant (or as easy) to remove and non-incinerated ones IMO.
The best method IMO, on ease of access, time wasted on the "operation", and percentages of head-with-body success is a credit card (if you can tolerate scraping yourself really hard with the edge of a credit card and maybe breaking said credit card... *stares at the ladies* not that I didn't have a female friend go ape on me when I successfully removed a tick off her arm while breaking her mom's credit card in the process... ).
Note: if you dont apply enough pressure you will just scrape the body of the tick off, leaving the head still embeded.