A catering trolley will be on board making its way along the train selling food and drink. Assuming the train isn't so busy the trolley can't move. or the trolley staff just can't be bothered.
Theres only catering trolleys on the classic route via Tonbridge and Ashford, the trains are unlikely to be busy and the trolley service is reliable in my experience.
A foreigner might think a 'trolley service' is a tram service as trolley (along with streetcar) is a common name for tram in the US.
Not when using either the East Coast or London Midland websites and looking at the popup which appears (as per the OP post and remarks)I think the TOC abbreviation is acceptable; SE is a abbreviation for South-East anyhow and the translation of SE is keyed at the bottom of the same page
I don't know why it's telling the OP to change at Faversham since the train from Rochester is straight through to Dover (with a split at Faversham).
Thank you vary much for allI'm from Poland and this is why I think "trolley" is (in polish) "trolejbus". It's a bus like a tram:
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Looks a little like a shortened bendy bus
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But the left is Trolley Bus from Solaris, and the right is bus We used to have trolley buses in the UK, until they scrapped them.