They carried long account books, and called out the transactions--"Delaware and Maryland sold to Beaumont and Company," "Delware and Maryland sold to Tighe and Company," and so on.

This simplified the bookkeeping of the various firms, and made for quicker and more stirring commercial transactions.
Seats "on 'change" sold for two thousand dollars each.

The members of the exchange had just passed rules limiting the trading to the hours between ten and three (before this they had been any time between morning and midnight), and had fixed the rates at which brokers could do business, in the face of cut-throat schemes which had previously held.
Severe penalties were fixed for those who failed to obey.

In other words, things were shaping up for a great 'change business, and Edward Tighe felt, with other brokers, that there was a great future ahead..