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Magenta,
I would strongly urge you not to compare yourself to others. I do interval sprints with my training partner and he blows me away, so it's very easy to get down on ourself when we compare ourselves to another. My grandmother, who is 78 years old, can literally jog for an hour straight without tiring out and she would leave me in the dust but on the flip side, she wouldn't be able to keep up with my 100 yard sprints.
The way you are doing your cardio is an excellent way to build up your aerobic endurance and your work capacity. Here is something you might try-
Each week add 5-10 seconds on to your jogging time while decreasing your walk time by 10 seconds. It doesn't seem like much, but in the course of 4 weeks, we've added 20-40 seconds of jogging with 40 seconds of less rest time. In 4 weeks time, we can start tracking what percentage of your heart rate you're working at and perhaps even incorporating a bit of higher intensity intervals. Remember, when it comes to getting physically fit, not much happens quickly.
Keep in mind that an overweight person is actually working much harder than someone who is not overweight. So, the fact of the matter is that even though she might be able to spend more time jogging than you, you are more than likely working harder and expending more calories.
I applaud your physical activity level!
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