If the bylaws state that a 2/3 vote of Chapter membership present at a meeting is needed to hire as well as to terminate an employee, then that could be done in accordance with the bylaws.
Thus the reading could be dispensed with by unanimous consent. Perhaps "Consideration and adoption of proposed bylaws" starting on p. 557 may be of use.
"When any paper is laid before the assembly for action, it is a right of every member that it be read once; and, if there is any debate or amendment, that it be read again before members are asked to vote on it." RONR 11th ed., p. 299, ll. 4-8.