Hi Li La,
Good luck with that! Many (actually probably most) never find a complete name for each of their remembered PLs. Indeed, it is very rare in most instances unless you are dealing with a fairly famous PL. Why we can remember some things and not others is always a question. Good PL memory may be a developed ability, and if so, since it seems to pop up spontaneously, it is something that the person was probably working on already in a prior lifetime. But that type of thing doesn't seem to have anything to do with what you would have been "working" on in your lifetimes as a Mormon Missionary or Catholic Homemaker.
Then, there is the question of whether we are being "allowed" or perhaps "allowing" ourselves to remember certain things for certain purposes. In your case you have had two sets of very strong PL memories about two lifetimes before this one. Perhaps you should ask yourself why? What is there about those lifetimes that is important for you to know, or perhaps to resolve? You seem to think it is the children for your life as Anna. What about Laura? As you have probably noticed, very strong emotions and trauma are the types of things that break through the PL memory barrier. So, I can understand your issue on Anna. Likewise, with Laura, the death of your first husband was very traumatic. But what is there about these lifetimes that you need to resolve or know?
I think in both lifetimes you have seen that you were or became a very strong, loving and worthwhile person who was able to overcome tremendous personal traumas and difficulties. Was this something you perhaps needed to know in facing the challenges of your current lifetime? You also seem to have gravitated naturally towards children, family and religious life as part of your happiness and fulfillment. Is there a gap there you might need to fill in your current lifetime? If you are meant to track down your PL children, why would you not remember the things that would allow you to track down your children and find out about them? Could it be that you are just meant to learn to let go and have faith that things turned out OK? After all, it is too late one way or the other for you to help them grow up, and they might be rejecting and consider you just to be a "crazy" lady bothering them if you contacted them.
I don't pose these questions for you to answer them here on this board. I think most of them are probably too personal for that. However, they are things you may want to consider. In the meantime, finding a name is often just a question of doing enough research and seeing what "clicks". For example, you could go through lists of Italian names for Italian families in NYC in the relevant time period and see if one "clicks" for you. You could look for common last names for people in Rome during the 40s for your maiden name. Likewise, you could research names for Mormons settling in New Zealand, etc. or prominent Mormon family names in Australia for the relevant period. You can also do what you have been doing in researching photos and see if a face "jumps out" at you. All of this will involve a great deal of "luck" or perhaps intuition.
In terms of intuition, I can tell you that after I did my first regression I was very spaced out. It was actually a very weird state of mind (which is what your last thread was about), but as I was wandering around I had a very strong impression that I should look up things about Madame Blavatsky. I was not particularly thinking that I was her, but that it was just something I should do. In doing this I looked at images of her and in one of those old photos the image of one of the other people "jumped out" at me, especially the eyes. This image was something I was seemingly guided to. Recognition of yourself in PL photos is something that is discussed elsewhere on the board, but you will know what I mean when/if you experience it. I do not claim 100% certainty. I am too much of a basic skeptic for that . . . but nonetheless, I am more than 90% sure . . . I think.
Cordially,
S&S