Oooh, dramatic!

Without realizing it, she fell over the cliff. When she was falling, the woman remembered him with tears in her eyes. She couldn't understand how he died in a car accident.

Good job! Here's some notes:

The phrase is this instance is usually "without realizing it". 

You're referring to one woman, so "her" instead of "their". 

You don't need to capitalize "he", Some religious people will do it when referring to god. Otherwise, unless it's the first word of the sentence, part of a title,  the only pronoun you need to capitalize consistently in English is "I". 

"Car accident" doesn't need a hyphen.