Newly added files in a branch

[Johnny John]

Hello:

I'm wondering if CVS treats files newly added in a branch specially.

Say I have a branch A created some time ago.  My mainline moves along, and 
at some point later, I want to re-sprout the same branch off the mainline 
tip.  Typically I do this as follows.

(a)  I'm working happily in branch A
(b)  Mainline moving forward in time happily
(c)  I decide to move my branch forward, i.e. re-sprout it later in time
(d)  I check out the tip of the mainline
(e)  I do a cvs update -j of branch A
(f)  I create a new branch B at the tip and check in results of (e) into 
the new branch

Issue I have seen is that any newly added files from branch A do not appear 
in branch B.  Instead, they appear on the mainline.  So, when I check out 
the new branch B, I do not get these files.

Anyone has similar issues, and have a better process to deal with this?

thanks,
-Johnny.