1. She lives there by herself.

2. She lives there by her.
[Wich one is correct, #1 or #2?]

3. She has no money with herself.
4. She has no money with her.
[Wich one is correct, #3 or #4?]

One and four are correct.

https://www.merriam-webster.com/dictionary/herself

same here

same here 1&4

In both cases, the correct option is the one without "self" or "her."

1. "She lives there by herself" is correct. The phrase "by herself" means that she lives there alone without any other people.

2. "She lives there by her" is not grammatically correct. Instead, you can use "by herself" to convey the intended meaning.

3. "She has no money with herself" is not commonly used in English. Instead, you can say "She has no money with her." This means that she does not have money in her possession at the present moment.

4. "She has no money with her" is the correct option. It is the most common and natural way to express the idea that she does not currently have any money with her.