2 GB of RAM would cripple a Windows notebook, but it's not a major issue on a Chromebook, even with 10 tabs open (depending on what sites they are of course). 4 GB is preferable if you can get it, but 2 GB isn't a deal buster. Chromebooks based on recent Intel Celeron processors (or better) provide a very reasonable experience - they perform the way you want a laptop to perform
. As far as Minecraft goes, there is at least one unofficial version in the Web Store, and if you get a Chromebook that can run Android apps there is an official Android version of Minecraft in the Play Store. You could also install Crossover for ChromeOS from the Web Store to install the Windows version, which probably works, but I'm not certain, I don't play Minecraft. You can also install Steam and Windows games, and the Windows versions of MS Office too, assuming you have enough disk space.
Assuming your daughter is school aged, most schools (around me at least, in Massachusetts) tell students to use Google Docs because it's free and available on any PC the student has access to, so a Chromebook has her covered for school needs. Some of the public schools around here actually distribute Chromebooks to the students.
And updates on ChromeOS are a vastly better experience than Windows 10. They download in the background - you don't even know it's happening. No degradation of performance, and when it's time to install them, they install the next time you reboot, and the longest one I've experienced took about 3 minutes. That was a big one that brought me the play store. Most other updates took less than a minute, or happened immediately. I can't tell you how many times I've taken my Windows 10 laptop to lunch, opened it up and it started installing updates which made it useless during my lunch break. They've sort of fixed that since, but at least to me, when updates are downloading/pending in Windows, performance isn't right and wifi is kind of crippled. This is what pushed me to try a Chromebook and I'm probably not going back to Windows 10 any time soon.
There is a whole lot to like about newer Chromebooks and very few drawbacks.