ps in answer to my original question, advice is yes, get the second invitation from my second hotel, put the first invitation numbers in the visa application, but attach both to the paperwork and passport when they are sent to the consulate.
Interestingly, having obtained invitations from both hotels, and included them in my Visa application, the Visa came back with the "Invitation number" area not filled out. Last year, with a 'scientific/humanitarian' visa, it was filled out. I queried the Toll Visa Direct people and they said that the Invite No. area is never filled out for a tourist visa. Hope they are right.