In reply to Moacs:
If your daughter wants a touring bike, does she need the usual features like
a triple chainset for super low gears to get you uphill with baggage, looks like the frame has a standard bottom bracket so you should be able to fit one and a front derraileur.
Drop bars for a range of comfortable hand positions, this is an easy swap but you'll need to know what size bar clamp, old bikes have 25.4 or 26mm, modern bikes use 31.8mm.
Frame fitments for a heavy duty on the back and mount points on the front fork as well.
If your ladybird is like the one in the ebay listing its a shopping bike, albeit a very smart looking one.
If you are set on restoring it.
A professional respray will be over £150, more than the bike is worth. On an old bike like that I would rub down the rust spots with some wet and dry or wire wool and treat them with a bit of Kurust and just redo if and when the rust comes back.
It doesn't look like the frame has a derailleur mount so you will be stuck with 5/6 speed axle mounted ones. So unless the old one is broken its not worth replacing.
It likely has 28" wheels, if the tyres are more than 5yrs old the rubber will start to perish and they must be replaced. You can still get tyres but a modern bike will have 700c wheels which are much more widely available and have a greater choice of tread patterns and widths.
Those old fashioned caliper brakes are terrifying compared to a modern set of discs