i had an experience like this a couple of years ago. My cat Boo got run over on the road outside our house. Boo was a very clever cat, very loving and seemed to understand me when i spoke to her.
The very next day my other cat gave birth to just one kitten. This kitten was just like Boo in every way. I found this quite comforting.
My cat had previously had a litter of 4 and has since had a litter of 4. I still think its very weird that she only had that one kitten after Boo had died the night before.
I dont know if i can say i beleive in reincarnation though!

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Kelsie