Facebook

Last week I’m afraid to say, I checked my wife’s Facebook account. I am not a facebook user, but found the activity log screen. I found that over the last two years she has been searching for her old boyfriends. One in particular, her first boyfriend (FB) several times. Although hurt I can kind of understand the curiosity of this. She claims she never contacted any of them, although I did see a friend request to one ex although the link was to another person of the same name. She claims this was not intentional and must have happened by accident.
There is one one issue I am struggling to come to terms with. She claims she has never contacted her FB since they last met 26 years ago (we have been married 20 years.)
On one day she searched for her FB. Then a minute later she shared a photo of herself (one in which all her friends agree she looks v pretty) on her newspage/timeline (whatever it’s called) for all to see-she had a public profile at that time. One minute later she searched for her FB again. She claims there is no connection between these actions but they all happened within 2 minutes of each other.
To me it looks like the photo of her was put there so he could see it, but I’m not sure how this was achieved. I’m not a facebook user but these actions all happening straight after each other seem too much of a coincidence. i.e 12.18 - You search for someone, 12.19 you share a picture of yourself, 12.20 you search for the same person again ?!
I’m assuming (as she has always claimed) she can’t have been a friend with him at this time as she wouldn’t have had to search for him.
Can you contact/communicate on facebook (send photos) without having to be friends ?
Any Facebook experts out there that think they know what was happening here (please no wise cracks, I have already thought of them)
To be fair, later in the day she did share more photos of our children but these were to a Group of ex work friends and they were sent securely to that work group.