Right as I've been invited, here goes and it is all tongue in cheek.
Babe, I might get a slap or a kiss for that one, but he was a boy.
Miss Piggy, I will probably get a throat chop for that and its a bit obvious.
Pig-iron, housewifely task allied with pig, plus it's strong.
Guinea, think on it

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Mr Kipling prompts me to suggest
Pinecoffin who knew much on the subject of pig or
Nafferton who was an earnest enquirer on the subject.
Senora Cochinillo, for the exotic sun loving married female piglet.
Aunt Pettitoes, a married mother of eight, including Pigling Bland. Think back to when you were very small as all the following mine the same literary vein.
Cross-patch, depends what Piglet has done today.
Suck-suck, I think not somehow.
Yock-yock, too obscure.
Spot, not piggy enough.
Pig-wig girlfriend of Bland, could be good, but this piglet likes Peppadew Peppers I believe so cannot be Bland. However and I quote "A perfectly lovely little black Berkshire pig stood smiling beside him." reminds me of a photo posted recently

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Miss Dorcas, not piggy enought again, aunt of Little Pig Robinson.
Miss Porcas, sounds good, second aunt of Robinson.
I reckon either
Babe,
Pig-wig or
Miss Porcas.