No child fares available through ticket machine

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Last week I decided to get the train with the kids into the Tallship festival, As there was nobody on the ticket office I had to pay through the ticket machine.

There is no option to pay kids fares for the train, Is this correct?,

Are kids free on the train up to a certain age or do all kids including toddlers need to pay the adult fares?

There is no information available in the station and I ended up paying adult fares for the kids.