Emily is very popular at the moment. I love the name Rachel and wanted it for my dd, but nobody else seemed to like it and I got cold feet. I think it is a FANTASTIC name and overdue for a revival.
Emily is a bit insipid; Rachel is a strong woman's name.
Have you read 'My Cousin Rachel' by Daphne du Maurier?
[Racks brain to think of other ways to persuade of the obvious superiority of Rachel to all other names.]
Oh, and your dh's name choices are way better than yours. Sorry 