NavList:

Well, you can't find your position by a noon shot, you can only determine your latitude with a noon sight, not your longitude. You can determine your position (if you are not moving) by taking a sun sight in the morning and then one in the afternoon, these two shots will provide a latitude and a longitude. You have a lot to learn and i don't mean that in a bad way, a lot of interesting things to learn. 

Here is a link to a WW2 flight navigation manual that explains celestial navigation. (Don't be confused by the use of the bubble sextant in airplanes, the same methods are used with a marine sextant.

http://aafcollection.info/items/documents/view.php?file=000198-01-06.pdf

http://aafcollection.info/items/documents/view.php?file=000198-01-00.pdf

http://aafcollection.info/items/documents/view.php?file=000021-01-04.pdf

Here is a link to the current Navy navigation manual.

http://msi.nga.mil/NGAPortal/MSI.portal?_nfpb=true&_st=&_pageLabel=msi_portal_page_62&pubCode=0002

And a link to the current tables used for celestial navigation.

http://msi.nga.mil/NGAPortal/MSI.portal?_nfpb=true&_st=&_pageLabel=msi_portal_page_62&pubCode=0012

https://www.celestaire.com/pubs/category/3-pub-249.html

You'll need an almanac, download it here for free:

http://aa.usno.navy.mil/publications/docs/aira.php

You can check you computations here:

http://aa.usno.navy.mil/data/docs/celnavtable.php

You are embarking on a an intersting quest, welcome aboard.

gl