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In a stainless steel bowl, beat eggs with the lime peel until fluffy. Remove lime peel and mix in the evaporated milk.
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Place in a double boiler (or use a stainless steel bowl over a pot of simmering water) over medium-low heat, and stir constantly until the mixture has thickened. Turn off the heat.
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Transfer the mixture to another bowl and add all other ingredients except the rum and bitters. Stir well and allow to cool completely.
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Once completely cooled, add the bitters and rums. Pour mixture into sterilized glass bottles and refrigerate.
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Serve well-shaken and over ice.