Funny, I remember the dotted-quaver Ds in bars 2 and 3 (etc.) not being tied to the previous notes... but it is a very long time indeed since I heard that tune.
Wayne Hill should certainly be added to the list of composers known only for one piece, unless he wrote scads of other famous things we all know without knowing the writer's name, and/or unless he's better known under another name (eg. Harrison Birtwistle).
You're right as far as the second one is concerned (the first is tied), as I find from listening to it (that link (given on the edited version of my original message) starts mid-way through - I
think the shift to E minor at the end of my example does occur at some point that doesn't appear on that segment, but may be wrong). Also, at least in the second iteration of the theme, the B in my bar 10 does not appear. And there should definitely be an accent on the first main D, and..... Oh well