True pets must have been kept in captivity and being fed + taken care of. So Victor, that mantis wasn't a pet, sorry.
I have kept plenty of unusual pets myself throughout the years.
From my childhood, there were silkworms, ants, mantis, spider or maybe it was a mini tarantula, grasshoppers, crickets, tadpole. Aside the silkworms were bought, the others were all caught.
Now as a fish keeper, I have some beautiful freshwater shrimps to clean my tropical fish tanks, as well as some aquatic snails to help with maintenance of my aquarium. Zebra Nerite Snails for algae control, Assassin Snails for pest snail control.