I used my one connection to a genuine New Bedford Portuguese family. They didn't recognize your specific request, but sent back this, which I post for whatever it may be worth:
Sweet Rice1 ½ cups rice
6 cups of milk
1 cup of sugar
½ bottle of lemon extract
2 eggs (beaten)
Boil rice in milk (add some lemon rind) with lemon extract for about ½ hour
Add sugar, stir
Add eggs, continue stirring for about 5 minutes
Pour contents into a large serving dish and sprinkle with cinnamon
"Strange how potent cheap music is."