If you de-friend a person on FB and decide to put them back on, can you without going through
The process of asking them to be friends?

Not to my knowledge, but why would it matter. Seriously, it is just a web site, they would have noticed you were no longer a friend if they were alert anyway

To Chuck: I stopped seeing her messages when she always wrote every day so I thought I
Was de friended. Now I see I was wrong when I de friended her. Thought there was a
Way to friend again w/o asking.
I went to her site and my photo was always there, but next to it nothing when everyone else
Had Add A Friend

No, you have to ask again.