Okay, let me add to your confusion and Toby's.
I have this Gillette Pocket Edition. The pristine condition of this set convinces me that all of it's pieces are original to the set. So either Gillette made ABC type handles or used ABC handles on their own sets.
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Vicki, to your question about how long Gillette made...
This set contains a Gillette Ball End New from around 1930 so...
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Your first one is a 1911 ABC, the second one may have had the head replaced by someone, unless you have historical information on Scandinavia Belting that says otherwise.