The first one isn't harmonic minor, any harmonic minor scale has a natural 7th, the one you wrote out had a flatted 7th. The second one is the correct harmonic minor fingering, or rather one of many correct fingerings. I use a different one, its best to have as many as possible under your belt. Be able to play the major scales starting from your first, 2nd, 4th (3rd isn't too useful) fingers on the 5th and 6th strings. Do that with minor, and all the modes, if you can get it all down, then you know the fretborad and how notes connect so much better.