Susanne: 'Rough eggs' could be 'roughage'i.e. the food which encourages intestinal movement. This will keep the meaning similar to the version I quoted.
The 'Little Miss Moffett' is, similarly, a bawdy version of a nursery rhyme, if you correct the spelling to 'Muffett' & 'Tuffet' you will find a quick search for 'tuffet' gives you lots of hits for padded footstools.

Nigel