Would you please correct me with my sentence, regards

"Maria, my name is Maria. I'm sitting in that house right across your’s on the road," she introduced herself.

Are there two women with the same name?

This is possible if one of the women is house-sitting.
"I'm house-sitting the house across (the road) from yours."

If there are chairs on the front porch, you can say this

I'm actually envy of your very keen power of diffraction.
Just seconds after I put it on the tread I noticed it. but it was already late my mentor. It should be like this;
"Maria, my name is Maria. I'm sitting in the house right across yours on the road," she introduced herself.
Thanks a lot
regards
osman

If Maria is sitting inside a house, how can she talk to another woman outside? Is she yelling?

No it's not like that.
It is actually like this;
It is part of a conversation but I was not sure of the description.
my mother was working in the garden, when there was a knock on the door.
"Who is it," shouted my mother.
"This is Maria your neighbor," a woman was at the door screaming.
"I'm coming," said she.
A bolt slid noisily on the door, it swung open slowly, and a

Does it suit now in this dislogue?
regards

osmancataloluk"I'm coming," said she.

That's excessively formal. More common would be: she said.

osmancatalolukI'm sitting in the house right across yours on the road,"

This is mixed up and incomplete. It would be better as:

I am sitting = I'm sitting. It means that when she talks, that is where she is.

eg.
I'm sitting at the computer.

Oouuccchh!
You mesmerized me really!
This I never thought of signalling something a different meaning. But This colloqial in Turkish.
Wow! You taught me a big lesson today. Thanks a lot.
Okay now I change it as is;
my mother was working in the garden, when there was a knock on the door.
"Who is it," shouted my mother.
"This is Maria your neighbor," a woman was at the do

My mother was working in the garden, (no comma) when there was a knock on the door.
"Who is it?" shouted my mother.
"This is Maria your neighbor," a woman was at the door screaming (Screaming is not good. It means you are afraid or angry.)
"I'm coming," she said she.
A bolt slid noisily on the door, which swung open slowly, and a

Thank you very much,
for your precious helps
regards
osman