If it makes you feel any better I am losing quite slowly as well and I started about a month ago too. I'm trying to stick with it though because I'm sure it will work in the long run. I know it's frustrating but so many people (including loads of people on this site) have lost significant amounts of weight long term with WW so I think it's worth sticking with it.
Your friend may be losing quickly now but then her weight loss is likely to slow down. If you are losing a little bit consistently then you are still heading in the right direction and overall your weight loss might end up being the same (hare and the tortoise and all that!)
I've been feeling a bit disheartened too but I'm trying not to compare myself with anyone - just working towards my goal and I'm determined to get there, it may be a little bit slower than I'd ideally like, but you've just got to keep at it I guess.
In addition - if she is eating a takeaway every day this suggests that maybe her diet was very poor to begin with (i.e. a habit of eating high-fat foods). If you're massively overeating on junk and then do WW the weight will fall off initially because it's such a huge change in diet.
Maybe setting yourself smaller but more realistic goals would help? E.g. another four pounds over the next month. Because in total you would have lost more than half a stone by that point which is a huge achievement!
This might help (i keep reminding myself of this) - every 1lb lost is two packs of butter. If you think of it like that - that's a lot of fat to get rid of! So 4lb might not sounds much - but that's 8 packs of butter already.
Sorry for the long post.....I seem to have an awful lot to say about slow weight loss!
Huge good luck to you chick - keep at it!