The Clerk and Chair are wrong. They are two separate items so should have been voted on separately, irrespective of who voted for or against. Just because a committee, even a single committee, recommended both actions, the two are obviously separate. In fact, I would have expected two agenda items rather than one in this instance to make it clear that the two items are very clearly separate.
Also, whatever the reason behind the request for a named vote, that too appears to have been incorrectly handled. A named vote can only be requested before the vote is taken; not afterwards just because someone has disagreed with the proposal.
The meeting has now taken place and the votes cast but I would be inclined, if there is support for it as you will need it, to request a recission of the vote on the grounds that procedurally it was incorrect. The end result might be the same but at least the procedure would be correct.