Is there anything upon her due to her miscarriage in the first month, which might have been caused by her traveling in a car or ascending a tall building, without her knowing the danger of these actions or intentionally seeking to harm the pregnancy?

Since the miscarriage occurred before forty days, no blood money (diyah) or expiation (kaffarah) is due, even if the termination was intentional. We hope that you bear no sin for not knowing the effect of riding in a car or ascending a height on the pregnancy. However, in the future, you must inquire about means of protecting the pregnancy.