Old Map Prints from Cpt. Cook Atlas

I was recently traveling in Kauai where I had the great pleasure of meeting our good friend Yswami. The man is a prince. While traveling around the island I was drawn to a small antique store that specialized in old maps. Being a surveyor there was no way that my curiosity would not be satisfied. I asked the owner if she had any items relating to Alaska and Captain Cook and his voyages, which I've always had a fascination with. I live at the head of Cook Inlet and Captain Cook discovered (from a western perspective) and died in Hawaii. The proprietor produced a number of original lithographs from several additions of Cook's original atlas's, English, French and Russian versions. The paper looked right for the time period and I ended up purchasing two of the prints from her for more than I care to admit, but she had a number of others that I'm very interested in. I'm posting this in hopes that someone more educated than myself can point me in the direction of placing a value on some of these old lithographs. I'm not a collector and purchased the two not as an investment but for their aesthetic appeal to me, but she has a number of others that I'm hoping to bundle together into a deal. Below is a picture of one of the prints and below that a link to some information on the atlas's that I found on the web. Any help in obtaining more information would be appreciated. Feel free to contact me in the email in my profile. I can direct you to the shop's website if you so desire.

Thank you in advance.
~Williwaw

The one I purchased is from the English version of the Atlas and was told it was from the first addition, but I'm unable to verify that.

Act II: The Third Voyage