Engine built on 24 June 1968. Here is the illustrated parts list for it:
http://bsintek.basco.com/BriggsDocumentDisplay/Z6jmsHVJ1DajI.pdf The mower is a nice-looking example of an early (one piece engine-mounting deck) Scott Bonnar 45. I don't recall ever seeing one that early before with a Briggs and Stratton engine, of the right age to almost certainly be original equipment on that mower. It's a second design-generation engine, 2.25 hp (first generation 6 cubic inch engines were 2.0 hp). Now I'm wondering if it has the early (single sprag) or late (5 sprag) rewind starter. I know its predecessor, the 60102, had a single sprag starter in 1963. Anyway, it looks to me to be a nice collector's grade SB45, and the reel looks as if it has probably never been resharpened, so it has the potential for a long, long life ahead. However, Deejay is the man, he will look for small signs of non-originality if there are any. He'll inevitably ask you to post a picture of the sprockets, inside the chaincase, photographed horizontally so we can all look at the individual teeth to check for sprocket wear.
I think you've done extremely well there - I hope you give that nice mower a nice home.