Thanks everyone ~ and sorry but 5/12 was my old travel date. I am now Friday 5/14 which I hope doesn't complicate things as it is a busier travel day. (Jason...any comments ??)
My intention is to book on the same ticket.
Ratman's Wife ~ I completely agree. While the agent was helpful she had no comment about the close connection. I trust you all much more for this info! Thankful for you all and this forum

Going to check United again. I miss traveling when you did not need a spreadsheet to keep track of all this!