I hate to add insult to injury...
but did you consider, in the second game, playing Nc7+ at this point?
After dropping a piece, always look for a counter attack... often in getting up the material we lose sight of defense. Not that your game is pretty after that - Nxg2 is coming soon. But even at a glance it at least produces counter-chances.
It seems that for every one great game I have, I have a million blunder games! A lot of the time, these blunders manifest themselves as me dropping pieces, which is a common type. I've also orchestrated some beautiful self-mates in the year and a half I have been playing chess.
Here, I would like to share with you some sad defeats. What is the purpose you might ask? Why, so you can laugh at me of course!
I do not normally respond 1. e5 when I see 1. e4. I normally employ the Caro-Kann. I've also very recently learned the Modern Defense, which I like as well. This game however, I decided to leave familiar waters and take a tour of the tactical wonderlands that can arise from King Pawn games. Up until my fatal mistake, I do not think I was doing that badly, but you guys can be the judges of that.
We all hang pieces sometimes. I find myself very succeptible to the horrid disease chess blindness that afflicts chess players of all levels, from novices to grandmasters. In this game, this wretched illness once again paid me a most unwelcome visit.