The Senators to be elected at the first election under this Constitution shall draw lots, so that, the term of one half of the number as nearly as may be, shall expire on the day succeeding the general election in A.D. Eighteen Hundred and Sixty Six; and the term of the other half shall expire on the day succeeding the general election in A.D. Eighteen hundred and sixty eight, Provided, that in drawing lots for all Senatorial terms, the Senatorial representation shall be allotted, so that in the Counties having two or more Senators, the terms thereof shall be divided as nearly as may be between the long and short terms.