wow this is a fun one:-) Well you obviously have a computer and a lot of indians are tech saavy, since you know her cousin you probably know her name, Search her on mysoace and facebook and see if she's online. Since you can't approach her in public, that might be a safer open especially since she has already showed that she is worried to be seen talking with you -OR- has no interest in you. You didn't mention this but there might be some cultural ethinic bias going on, I'm sure you're aware of that but, are you from the same class? I don't think it should matter in 2010 and a lot of people are breaking the old way of things but if both your familiesare i nthe same village it might be weighing on her about it. Facebook is a non-in public way of approaching and building some repoir.. but do make a very good plan and maybe have soemthing in common or somethign you know about her (not creepy-stalkerish) to chat nonchalantly about. I would also wait to confess your obsession and undying love because she's goign to need to get comftorable jsut chatting you as a friend! Also in a distant one liek this that has already tried to distance herself from you even though she knows of you, I would NOT open with negs.. build a little repoir first... Also would try to be seen favorable by her without being obvious thats the attmpt. If you have a nice yard or car or dog or little siblings, try and do things outside that make you look like a hardworker/ good person and not just drolling and gawking from the sidewalk! Do some yardwork (shirt off...) wash your car (shirt off) sweep the drive/ gutter/ walk, walk yer dog, play with the little kids, bicycles and ball games. Let her see you're not the creeper stairing stalker guy who jsut "happens" to be on his porch everyday stairing in her direction.
Once you develope facebook-repoir and she'll atleast comment back a couple times invite her to do soemthing with you AND her cousin. Make plans with her cousin, like usual then invite her along. A ball game, movie, something casual.. a non-date if your society is going to frown on that... for now.