Okay. Self-proclaimed closet computer nerd here.

Here's my input.
1. The number one laptop company that I would recommend is HP. One-hundred percent. Excellent product for excellent prices with excellent customer service. I suggest staying away from Dell. The product is decent, but the CS sucks.
2. If all you're looking for is basic computing and internet, I would look into a netbook (mini laptop). Look at the
HP Mini's. Small and compact. Come stock with wireless card and webcam/mic. Perfect for business, traveling and school. Only downside is netbooks do not have opitical drives (CD drives) due to their size.
3. If you are looking for more everyday computing or a larger screen (you said 15" or so?) I would look at something like the
Presario or any of the G-series laptops (I recommend the
G62m). The computer I recommended is great. It has an optical drive and integrated mic. I don't believe it comes stock with a webcam, but if you want one, when you add the computer to your cart, you can choose the option to add one. They are inexpensive. It has a good amount of RAM memory to keep your computer moving quickly on the internet and a decent amount of hard drive space for all your files (this, too can be upgraded).
If you have any questions or anything feel free to PM me. Like I said, self-proclaimed computer nerd. :) I love this stuff.
ETA: HP also has a great buy now, pay later program.