Looking on the internet deeply has found these results:

in the eary week is the most popular phrase on the web.

in the early of week 17 results on the web	in the eary week 144,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
MacArthur finished rehab a week early. Many clones die during pregnancy or in the early weeks of life from immune deficiencies, cardiovascular failure, respiratory problems and kidney abnormalities. We got here a couple of weeks early and she's still in New York, but she's coming. They're rotating you a couple of weeks early. No, it's early weeks yet. It is public knowledge that in the early part of the week when I was there, there was some lack of transparency, if could express it in that way. During the early weeks of the camp's operation there was utter chaos. She was a couple of weeks early.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

in the early of week

17 results on the web

in the eary week

144,000 results on the web

More popular!

MacArthur finished rehab a week early.
Many clones die during pregnancy or in the early weeks of life from immune deficiencies, cardiovascular failure, respiratory problems and kidney abnormalities.
We got here a couple of weeks early and she's still in New York, but she's coming.
They're rotating you a couple of weeks early.
No, it's early weeks yet.
It is public knowledge that in the early part of the week when I was there, there was some lack of transparency, if could express it in that way.
During the early weeks of the camp's operation there was utter chaos.
She was a couple of weeks early.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.