Provided, That no insane, demented or degenerate person shall be admitted into the said home, and where they are already admitted and become insane, demented or degenerate, a board of inquiry, composed of two physicians connected with state sanitariums, together with the home physician, shall act upon such case or cases; and in all such case or cases, on petition of the trustees to the governor, he, the governor, shall then designate what other two physicians from the state sanitariums shall act with the home physician as the said examining board. And when such board shall determine that such member of the home is either insane, demented or degenerate, then such member, upon the report of the board, shall be sent to some state institution, as is best suited for his or her affliction.