I agree with the interpretation that this phrase generally means that the testator has been married before. I have used a lot of wills from the 16th to the 19th centuries to help with my research and seen the phrase many times. Perhaps it was more common in earlier centuries because many women died in child-birth and the man married again, either to have someone help with the child-rearing or to carry on the genes!
Generally speaking, the phraseology was that in common use by the lawyer to ensure that there was no doubt as to the testator's meaning. It can lead to some very long-winded wills that actually have a very simple meaning. The testator may have said 'my wife' but the person with the legal expertise who was tasked with writing it down inserted the correct legal wording to ensure clarity. Equally the clerk may have inserted the word unnecessarily, simply because that was what he was used to writing.
Nell