Remotely possible that you ran out of gas.  If you had just made a hard right and sloshed most of the remaining gas to the right side of the tank.  Then you ran out, and during restart sloshed a bit back to the petc0ck side.  You do have a reserve setting too, on the petc0ck lever.
If not, try raising the idle speed a little bit, Left-side of bike under petc0ck, knurled screw, you can turn by hand.  
Also check the petc0ck to carb vac line for any gas, (should have none), right-side of carb, hose usually covered with chrome spring.  Pull it and see if there's any gas in there.
Fill the tank with the bike upright, I usually do it sitting on the bike,up to the edge of the tin tube in the filler hole.  If you fill to that point while on the kickstand, when you upright the bike gas will often overflow from the cap.  Messy.  Some folks risk it, to get maximum amount.  I get 100 to 120 miles before reserve, the way I fill up.

While I have seen several people fill their motorcycles while sitting on them, I do not recommend it. There are a couple of reasons. One is spillage. If you manage to spill gas on the tank, either from an overflow or a mistake with the fuel nozzle, there is a good chance some of it will run down the tank into your lap. From experience with fuel leakage from Zippo lighters, I can assure you that you probably won't like it. The second reason is fire. You are probably refueling a motorcycle with a hot engine (you just rode it there). It is unlikely, but there is a chance that fuel vapors could be ignited from either a static spark or from the hot engine/exhaust. I prefer to be standing beside the potential fire, instead of straddling it.

Chances are you will be getting off the bike anyway, perhaps to use the restroom, get a snack, or even go inside to pay. Some places you'll have had to go inside to prepay before you fuel. Might as well get off before the fueling operation instead of after.

Once I began to get comfortable with riding, I intentionally rode until i ran out on the main setting. I did this just so I could know what it feels like to run out and have to switch to the reserve. I was actually slowing down for an off-ramp at the time so it was a little strange but the continued backfiring and lack of acceleration when I needed it told me all I needed to know.

Btw, congrats on hitting 60mph. Enjoy the 60mph vibration? Its nice because then you don't need to look at the speedo. Give it a few weeks and you'll be opening it up to top speed. Mine maxes out at about 85.

Thanks people.  I will try the reserve and a short ride directly to the gas station tomorrow.  I'll check in after!

Ima Sitandfiller, too. I can see in the tank easier, slosh it to burp it with my legs, too.

I have run out O gas at stops & during a slow down & approach to hard braking & a turn, so now, when I get 80 miles on the tank, I flip it to reserve at times, then back to ON in other places, I just dont want it bucking & snorting in a turn or dhutting down at a stop sign.