Ok, new question. Is it legal to carry a loaded gun in your car without a permit?
http://nraila.org/GunLaws/#?st=WY
http://attorneygeneral.state.wy.us/dci/CWP.html
When asking legal type questions it is usually best to go to the source or to an attorney. Kind of hard to supoena the internet to come to your defense in a trial.
As to what sort of carry method, think software more than hardware. Tactics and training will usually win out over specific tools. For example, in the initial situation mentioned, would it have been possible for the woman to drive to a police station instead of past her house? It appears she had a cell phone with her, could she have called 911 and told the dispatcher she was being criminally followed by two potential attackers and ask where she could go to intercept an officer, or she could have called the family member and said to intercept her on such-and-such street or in a grocery store parking lot by the main doors.
As to how you can defend yourself from a situation like this you first have to assess the situation. You won't know if the suspects have guns themselves nor how well trained they might be. Could they have a rifle or shotgun in the trunk accessible by a simply reach-in thru the backseat of their car? Rifle in the trunk in a softcase with the buttend zipper foreward, ammo in a lunchbox on the rearseat floor, lean back the front passenger seat, pull down the center rear seat pad opening the access to the trunk, unzip the case and remove the rifle, open the lunchbox on the floor and remove a loaded magazine, chamber a round, car stopped now as you have stopped to confront them, passenger in bad guy car with seat still layed back opens passenger door and rolls out using door as cover and brings his now loaded and ready rifle to bare down on you, you standing there with a .45acp telling them to back off, BG passenger has a .308 leveled at your head or chest. Who wins?
Tactics and training beat caliber and capacity almost everytime, YMMV.
Without knowing what triggered the woman's becomming a target it is nearly impossible to know how to train for avoiding it in the first place. Could have been a dirty look, a scared look, she could have grabbed the last filled doughnut at the local handimart/gas-station, could be totally random. All you can do is to generally upgrade your own personal awareness. There have been many discussions about shooting while driving, here and elsewhere on the web, and generally it is a bad idea. There are always exceptions, but generally it is a bad idea and is usually better to drive and evade and escape than to engage and shoot or shoot back. A firearm inside the car is for when someone approaches you in the car while stopped, or for carry when going to and from the car. There are many options on where and how to mount or carry a firearm while driving, some legal, some not, depending upon your location and personal situation/status. Not knowing your background, and with me not being a self-professed expert in the field, I'll leave others to armchair coach you from their computers and web stations.
Also, I'm fairly sure there is someone competant in the Green River or Rock Springs area who can readily help you in gaining situational awareness, but if not then there surely is over in Evanston. It's kind of like bicycle racing in a way, if you're not tuned into the "scene" then you probably don't know there's a race nearby, but once you're tuned in then there's not enough time to hit them all. Got no idea if any of these are any good, but they were found with a quick google search on: handgun training wyoming.
http://www.wyomingfa.com/
http://www.scotsdown.com/NRA_Frame.htm
http://www.dlsports.com/
http://www.spudguns.net/
http://www.martialartsresource.com/firearms.htm
Hope this helps some.
Stay safe.
