Joe, Cynthia, you are quite correct. As the poem says they are still with us for a while. In my experimenting with the para normal I finally came to the conclusion that the physical body is something that we use here, but it is 'not us'. Many times we lose parts of that body, even whole limbs etc., yet we continue as if they were still whole, we do not act as if the lost parts were the actual person, even if they were major parts, so we do not venerate them.
To some, I may appear to be callous regarding bodies, but that is not so. It is just that I tend to put them into their proper prospective. I remember the 'person', not the body. To Mothers, their child will always be their baby, no matter how many years go by. while they may see a mature body, they manage to retain the child image intermixed with it. You know exactly what I mean Cynthia
This is why I no longer worry about the physical body as many do. To me it is the person that I associate and visualize with, yes, but not the true person. it is just a conveyance for us just as a Chevy, Ford or what ever is.
If you have ever lost a true close companion in an animal, you will be aware of this. For some days after, you will find them rattling their food dish or something similar, some even manage to pull on your sheets. They will manefest themselves to you in many ways. Unfortunately we are at fault, we cannot understand the many hints from them. We still insist in our normal form of communication.
Cynthia, I am sure that IF Jessie is actually gone, if you look back, you may find that You have had some of these similar experiences. Ways for Jessie to let you know that things are still ok.
When I was critical with the cancer, I distinctly remember once finding myself outside of my body in a luminous opaque setting. it was a peculiar feeling, not of fear, but a sort of relaxing, comfortable feeling. Somehow I knew that if I kept going into this misty surrounding, that I would never come back. Then I remembered my wife that was soo dependent on me.
She had a psychological condition known as Agoraphobia. She could only keep it under semi control by using me as her stability factor. I knew that I could not leave her that way or without even saying goodbye, so I seemed to have made a voluntary will to return. I woke up on the floor, at the time I was too weak to get out of bed

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I believe that was the turning point in my complete recovery.
Don Jose de La Mancha