It all depends whether you take the Teutonic or Latin meanings for
Rosamund - if the latter, "rose of the world", which was used for the medieval English king's lady love
Rosamund Clifford, then it is related to
Rose.
But it's so underused and so elegant that it beats all the Roses hands down!
Rosamond (I think this spelling) is
Elizabeth Taylor's mn - her mum had good taste in combos.
And
Alice Rosamund is lovely too!