There were originally five counties in the Wyoming Territory : Laramie and Carter , established in 1867 ; Carbon and Albany established in 1868 ; and Uinta , an annexed portion of Utah and Idaho , extending from Montana ( including Yellowstone Park ) to the Wyoming-Utah boundary .
First there were five counties in the Wyoming Territory . They were Laramie and Carter , formed in 1867 ; Carbon and Albany formed in 1868 ; and Uinta , an added portion of Utah and Idaho , extending from Montana ( including Yellowstone Park ) to the Wyoming-Utah boundary .