What tyres can I use?

Hi, I am doing up a 1990 child's peugeot racer for my daughter to ride in next years Eroica. Don't want to spend too much as she will grow out of it in a couple of years. The bike has 25-540/541 tyres on it at the moment, but they need replacing. I have found some 23-540 and 37-540 tyres on ebay, but don't know if they will be too narrow (23) or wide for the rims (37). I can't find any markings on the rims to give the size of them. Any ideas?
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