It’s all on C-SPAN.
I’m watching LIVE.
OK.
House protocol is indeed that the Speaker is elected first, then the swearing in!
“Members-elect of the U.S. House of Representatives typically take the Oath of Office on the House Floor on the first day of a new Congress, immediately after the Speaker of the House has been elected and sworn in.”
http://clerk.house.gov/member_info/memberfaq.aspx