not sure how to do the first one but the second I have an idea ...
Machines usually have one side attached and a free side - mine is very old (my nan use to make me dresses on it) and you can get a sock over the bit where the bobbin line comes up IYKWIN.
Pocket nappies are kind of sock like in that they are closed one end one the other SO if you cut a piece of velour a little larger than the nappy stretched (for the leg bit)and iron the edges to create a neat edge. Pin velour to the top of the liner and start at one side of the open nappy, sew down the leg bit but not on the elastic with it pulled taught (so it bunches back again), sew around the front back down the other leg then across the opening bit.
You could probably cover one side of the snap in liner in the same way?
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