Hi Romulus,
I'm selling the very first bass guitar I owned on here if you're interested (it's the one I learnt on):
[url="http://basschat.co.uk/topic/197509-ibanez-gsr-200-for-sale-l60-perfect-starterback-up-bass/page__fromsearch__1"]http://basschat.co.u...__fromsearch__1[/url]
As Amps go, Ampeg do decent practice amps. A 35w Ampeg BA110 (1x10" speaker) would do your daughter nicely and not be too loud to annoy you when she's practicing. It also has a headphone input for silent practicing. Can be had for about £150 new or less used.
Ashdown also do similar practice amps like the 15w Tourbus 10 (1x10" speaker) and the 15w After Eight (1x8" speaker).
An amp with a 10" speakers should give you enough bass response and be light enough to carry around. Wattage isn't really an accurate way to gauge how loud an amp will be but for practicing 15-30w should be fine.
I'd avoid starter packs. Buy cheap, buy twice, as they say. They're good for a while but you want something that will encourage learning, I wouldn't put too much merit into the build of a starter bass (or any instrument) let alone the ability of the amp to give you a sound worth listening to for hours on end. You want a bass that stays in tune and plays well which will be a joy to play for years to come until your daughter decides to upgrade. Same goes for an amp. A good practice amp can be taken anywhere and will have uses no matter how big your rig becomes.
Yamaha and Ibanez are both great makes and make solidly well built instruments. My Ibanez GSR200 has seen me through learning to gigging to recording. Music Man make very good basses, their StingRay range are awesome, basses built for bass players from my experience (with a price tag to match). I haven't played a Sterling but it looks like a cheaper alternative to a StringRay (still not that cheap mind). Noting your daughter is quite young and given girls generally have smaller hands, a Squire (by Fender) Mustang bass may be an option. They're a shorter scale length then regular bass guitars so she could find it easier to play.
Hope this helps, there's a lot of choices out there. If you need a hand picking stuff or want to chat about different specifications of the gear you've been looking at just send me a message on here.
Kind Regards,
Shaun
P.S: I agree with going to a music store and having your daughter try out a selection of different basses. That way she can judge weight, neck size and general comfort of playing. If it has flowers on it or it's bright pink, avoid it!