I am a 19 years old girl and I want divorce.
Does a girl's parent have any right to stop or force that girl from having divorce even if she wants a divorce from her husband?
First of all, you should know that divorce is one of those acts, which are highly disliked by Allah and yet still permissible. In case of any issues between the husband and wife, they both should do anything to make this relationship work, but only if every single solution fails, and you are 100% sure that there is no hope for survival of the relationship, then it's your right to go for it. Thats the beauty of islam, that it gives you a solution in every possible problem.
Now coming to your point as to whether the parents can stop her from not getting divorce, please consider there might be a solid reason why your parents don't want you to get a divorce. Parents are almost always wise and mature enough to think broadly, and as you are not much mature yet, at the age of 19, you definitely need help you in this big decision. I would recommend that you should personally talk to them, and listen to their point of view as well, and why they don't want you to get divorce from your husband.
Secondly, Islam encourages us to always have consultancy in our issues. Even prophet Muhammad once, was getting consultancy from a group of sahaba, and he asked view of a child as well, about a battle, they were going to start. Sahaba asked that how can this child tell us anything good? then prophet Muhammad said that "Maybe he says something, which we might not know". So, please consult with elders of your family and his family as well.
If everything fails, then its my personal opinion (as I am not a scholar), as a woman cannot be forced to Marry anyone against her will, the same way no one can force any woman to stay in a relationship, that she personally doesn't want to stay in.
I would say that you should consult a scholar in this regard, as on this site with only common muslims present to answer, and with this being a very serious matter that will effect your whole life. So going only on the view of a non-scholar can be a big mistake.
Be very careful in this case.
And Allah knows best.
No, women in general, regardless of age or any situation, cannot divorce. But yes, she can ask for Khul' (خُلع in Arabic), or "Take off" literally.
Please take this chosen response as a serious advice.
I did some researches and I found that you are eligible for Khul because in Islam Divorce is only for men, and women can only ask for Khul' from the Islamic Governor or anyone who's in this position (must be a Islamic scholar).
You may note that he (the Islamic Governor / Islamic judge) can refuse to divorce you and if so, of course he can see what you both didn't do and he'll guide you to finish all the process.
Note: When a woman ask for Khul' and gets it, she'll be required to pay the same amount of "sidaq" if you can of-course. This is one of views in this case, and maybe the judge will take another view*