Do you know a date of birth or religion?
There are some church records for the Czech Republic that have become available online. It is good you know the area. I have only recently been researching in that area myself and am not real familiar with the transition of the area from what our ancestors may have referred to as Austria or Bohemia or Moravia. But, it looks like the area you refer to is in Northern Moravia.
Here are some websites which you may find useful in locating your ancestors in the Czech Republic:
This first link shows a map of the different areas of the Czech Republic and the websites where the parish records can be found. Not all records have been digitized yet, but you may be fortunate and have the area you are looking for available online.http://www.american.fm-search.org/index.php?option=com_alpha...
If you need to access the area found on the actapublica.eu site (Bohemia area) for other ancestors you may have from that area, you must register. Registration is free, but the site is in Czech or German, so clicking on the link right above the map will give you visual directions on how to register.
Anyway, from the map, I determined the website you would need to access is:http://matriky.archives.cz/matriky_lite/
Click on the book.
After you have read the introduction, you can click on the 'searching' tab.
Then, in the box next to filter, type in 'Frydek'.
This will bring up 3 records. Click on the second one...I think these are the Catholic parish books.
Find the area you are looking for, in your case, Frydek (you must use the current Czech spelling).
This will bring you to a page that has the records available for that area. I chose:
Frýdek • římskokat. f. ú. (I believe this refers to Catholic records.)
Click on the type of record you would like to search (note: N= birth, O= marriage, Z= death).
I chose births from 1870 to 1893 since I am taking a guess that your Karl Carbol was born about 1876.
N • 1870 - 1893 • 2879 • Fr VII 22 • Frýdek, Nové Dvory
Click on the book to the right of the information about the archive. (If you were not to see a book at this point, the records are not online yet...fortunately, the records you need are.)
From here, it's just a matter of panning through the images. I advanced the page number to get to records around 1876.
Found a Karl L? Carbol b. 17 Oct 1877 Father is Josef Carbol; Mother is Johanna Micek. (It's p.117 if the link below doesn't work.)http://matriky.archives.cz/matriky_lite/pages/zoomify.jsp?pa...
Next...I looked for a marriage record.
O • 1878 - 1924 • 8815 • Fr VII 24 • Frýdek, Lískovec, Nové Dvory, Staré Město
Found a record for that same Carl Carbol to Amalie Zahradnik, daughter of Josef Zahradnik and Theresia Pawlik. (it's on p. 131 if the link below doesn't work.)http://matriky.archives.cz/matriky_lite/pages/zoomify.jsp?pa...
You can continue to scroll thru the registers and find other ancestors...happy hunting!