The two Malleson multipliers shown in Chapman's book appear to be the same style as Jim's reel. Just for the record, here's a shot of a round version, also made of plated brass. The tailplate is simply a round version of the one on Jim's reel, but it doesn't have the patent stamping.
The engraving in the Kiffe ad that Harvey cited was used in ads that seemed to show up everywhere in the mid-1880s. Here's an example from
American Angler, 1884, the year after the patent was granted.
What do we really know about Malleson's reels? He may have been responsible for whatever reelmaking was accomplished by Conroy, Bissett & Malleson, and he took charge of their Brooklyn reel factory when the firm split in 1881. He applied for his patent in the next year. Although he remained in the tackle business after his 1889 bankruptcy, it doesn't seem likely he would have continued to make his own reels. So I doubt he was making his own reels for more than 8 years, which is a relatively short span.
