Here are a couple of responses about the Like 200 from the yahoo group 'kymcoscooterforum':
"I bought a Kymco Like 200i in Dec 2011 in Singapore.
So far I have been a motorcycle rider, I own a Honda Shadow TA 200 (also known as Honda Phantom in Singapore).
My experience with the Like 200i has been good so far. It is a fun to ride commute bike. The max speed that I have reached while riding 2 up is about 105 km/hr. (65.62 mph) The scoot can go a little faster I guess but I have a windshield which puts a penalty on my top speed. So far, my bike is very stock. I have only added a windshield and replaced the spark plug with an Iridium plug.
The Kymco accelerates rather swiftly from 0 to 40 kmph, then quite fast to 60 kmph. But 60 to 90 is not so swift (not slow either, just not that quick). But then it is a scoot. If you want power and rapid acceleration, you would rather buy a sportsbike.
Some of the older shopping malls in Singapore have very steep ramps leading to the multi storey parking lots and so far the Like has carried me and my pillion safely up the ramps, never had a problem. The Like is also designed very simply and is air cooled. You may get more performance if you buy a water cooled scooter like the Kymco Downtown but then, it will cost you a bit more to maintain.
Overall I like the 200i as a commute bike. I just wish it had slightly bigger wheels to help it soak up the bumps in a better manner. And perhaps a little more storage."
and
"I enjoy my Like 200i (but the only other scooter I've ridden was a Vespa 50, so I'm not much of a judge). That said, I've maxed out the throttle at 50mph (speedometer reported) going up a decent-sized hill near Portland, OR. I weigh 145 lbs."
As to getting her Like up to that speed, all I can attest to is what I have experienced. About 50mph will likely be tops with minimal mods. To top 50mph, a big bore kit will likely be the best route, but that is something with which I have no practical experience. There are, however, some excellent posts on this forum re: a bbk. The Like 50cc engine shares the same traits as People, Cobra, and Vitality 2 strokes, in which areas of the forum you will find more infos for heavier modding. 49cc forum (from which I culled the exhaust list noted earlier) has some good infos on modding (and 2 stroke engines in general) and I have found good infos on ScootDawg and ScooterInvasion forums.
Good luck and let the forum know what you end up doing.