A take on this from a stamp collecting/postal history perspective.
The card appears to be what you think it is. I wouldn't have made the name connection, figuring it was a random purchasing agent for W+D. But it all looks "right" If not for the baseball content, it's not an expensive card.
To me, that extra inscription is docketing. Many companies saved all their correspondence (Fortunately, especially for some companies) And many documents were designed to fit in a particular file box, which stored things on end. The recipients filed them typically by sender, and since return addresses weren't universal at the time and on business letters could be on the back flap..
They wrote the name of the sender, date received, and sometimes other info on the end of the card or envelope. The copy of the return letter, and any other documents were kept in the same drawer, all similarly marked.
If I had to state who wrote that, I'd say it was a clerk at the Hamilton Web Company.
They were a fairly large place, now a luxury condo.
https://www.independentri.com/indepe...374a1490f.html
https://sah-archipedia.org/buildings/RI-01-NK36
For it to be Wright, I'd want to see some way the card went back to W+D and that Wright did his own docketing and filing. But returning a card requesting a quote would be very unusual for the 1880's.
(It would be a letter written something like
recieved your postal of Feby third requesting a price on BB web. Our prices are as follows,
That followed usually by samples sent under separate cover - unless it was light enough stuff to put in the same envelope like a couple inches of yarn, but belt webbing was pretty heavy stuff. And sometimes some flowery language about the quality and durability of their goods. And an expressed hope to satisfy their order soonest.