Yours is identical to mine. As you say its hard to exactly date it, I tend to agree its somewhere between 1915 and 1930, so 1920s seems right.
Of the two vices, both good and will work well, sad to say it, but the Record is superior in terms of performance, Record copied Parkinson and then bettered them by replacing the cast ion bars. However I like using my old parky it works well for everything I've thrown at it and just as good as it was 100 years ago, I like the thought of using something that has seen a lot of wood over the years.
You could consider using both, one for the end of the bench (tail) and one on the face, although having said that tail vices are not used anything like a face vice, its an excuse to not sell the other one.