what laptop has lots of gb, memory is small and affordable

A mini laptop would be perfect for your 11 year old.  I found an HP mini laptop on http://www.QVC.com I'm recommending this site because you have the option of making small payments instead of having to fork out the entire amount for the laptop at once and it is shipped immediately with the first payment.  Here are the details of the laptop and it has all of the features you are looking for.

A mini mobile powerhouse. The low-profile 210-1010NR notebook puts all the computing essentials right at your fingertips so you can travel light while staying connected.

The 1.66GHz Intel Atom processor N450, 1024MB DDR2 system memory, 160GB 5400 RPM SATA hard drive, and 802.11b/g wireless LAN provide the essential speed, access, and storage for your on-the-go needs, and the 10.1" diagonal WSVGA LED anti-glare widescreen LCD display delivers just-right sights with impeccable detail. An HP QuickWeb button brings up e-mail and Internet pages in a snap, and HP QuickSync makes it easy to transfer files to and from your primary PC whenever you're connected to the same network. From HP.

QVC neither condones nor encourages the use of this, or any similar technology, to acquire unauthorized recordings of copyrighted works; inclusive of, but not limited to, the download of prerecorded media via the Internet.

Wireless capability and use of public wireless locations or hot spots may require a network connection, additional accessories, and a service connection fee.

Access to and use of the Internet may require payment of a separate fee to an Internet Service Provider, DSL line, or more. The download speeds experienced with the modem may be slower due to varying line conditions.

• Includes notebook, three-cell lithium-ion battery, AC adapter
• 1.66GHz Intel Atom processor N450
• 10.1" diagonal WSVGA LED anti-glare widescreen LCD display with 1024x600 resolution
• 1024MB DDR2 system memory
• 160GB 5400 RPM SATA hard drive
• 802.11b/g wireless LAN
• Intel Graphics Media Accelerator 3150 with up to 256MB total available graphics memory
• Web cam, integrated digital microphone
• Stereo speakers
• HD audio
• HP QuickSync
• HP QuickWeb
• HP MediaStream
• 93% full-size keyboard
• HP Clickpad
• 10/100 Base-T ethernet
• 5-in-1 integrated digital media memory card reader: SD, MMC, MS, MS Pro, xD
• Three USB 2.0 ports
• Headphone/microphone combo jack
• VGA port
• RJ-45 port
• Security lock slot
• Genuine Windows 7 Starter Edition
• Norton Internet Security 2010 60-day trial
• MS Works
• Adobe Reader
• Measures approximately 10-1/2"L x 6-15/16"D x 1-1/8"H