O.K. - this is question from US (by IP address Atlanta?). You can write in english to this forum.
In this forum section is is common for the questioner to transcribe from the recording everything he or she reads.
But sometimes we can make an exception, especially for foreign colleagues.
However - if you want to research old manuscripts in Bohemia and Moravia, it is essential that you learn to read the type of script in which this article is written. This script is called kurent (German Kurrentschrift) and it's a German neo-Gothic cursive. Simply put it's a handwritten form fraktur. The following table can serve as a good reading aid:
https://genealogie.nka.cz/?page_id=177So, to finally get to your text:
child: Kateřyna Jozefa Hagkowa
catholic; girl; legitimate
father: Anton Hagek Pekařskeg byl přy Profiantu
mother: Anna dcera Martina Kortwycky Wogaka od Geming Regmentu
in modern czech:
child: Kateřina Josefa Hájková
father: Antonín Hájek, Pekař, byl u proviantu
mother: Anna, dcera Martina Kortvičky, vojáka od pěšího pluku
in english:
father: Antonín Hájek, baker, was at the provisions (I don't understand the meaning - see below)
mother: Anna, daughter of Martin Kortvička, a soldier from an infantry regiment
Why don't I understand the meaning of the note at the baker's? Similar formulations were used for illegitimate children. The father was out mushrooming, the father ran across the field, the father got lost in the forest,... But in such a case the father's name is never given, and the child would not be marked as legitimate. Why would the registry book record that the father was at the grocery store, I really don't understand. That he would travel with his pregnant wife to buy supplies? I don't know, I don't understand. In any case, unfortunately, their origin is not recorded with the parents. You can try to search for the births of their other children, but if they were in the place by chance, such a search can be quite difficult.
