Does the position of the functional group on the terminal carbon change the nomenclature? Consider two alcohols:

$$\rm{CH_3 - CH_2 - OH }$$

and 

$$\rm{CH_3 - CHOH - H }$$

In the second alcohol, the hydroxyl radical instead of sticking out from the molecule, is bonded below the terminal carbon, like this
$$\rm{H}$$

$$|$$
$$\rm{R- C- H}$$
$$|$$
$$\rm{OH}$$

Now, this doesn't affect the nomenclature (as far as I know), both will be called $\rm{1-ethanol}$. Clearly, these are isomers. But IUPAC nomenclature is supposed to be completely unambiguous. Or did I go wrong somewhere and there actually is a difference in their naming?

PS: Is there any way to produce structural formulas more efficiently in latex on chemistry stackexchange?
They are not isomers, they are the same molecule, ethanol (the "1" is superfluous, there is no 2-ethanol), CH3CH2OH