New York, June 13. The Poí'í Baltimore correspondent says the Blairs have been beaten in getting up the elecloral ticket. The Electoral (Jonventiou had one niiijority anti-Bluir, and admilted tho anti-Blair cotitested delegaüoiií, thus secuiing an anú-Blair, Lincoln electoral ticket. - Meantime, the Fieniont men ar rnoving, and will put their Electoral ticket n the field at the proper time. The free Sta'e CoiiMtitutional Conventiou has got through the vvhoh; 42 articles of the bill of rights, baving the jaramount allegiuuca and abolition of slarery articles yet to act on. These will occupy two weeks of debate.