The Dead Lock.—At the meeting of the Board of Aldermen yesterday the Mayor madesome statements relative to the dead lock be-*«tween himself and the military.- The follow-. * . ‘ing is his letter to General Grifhn :Mayor's Office, June 10, 18G7.Aliijor General Glilfin, commanding Diatiict of.►Siit : I have sworn in and appoiuted nine ofthe new police you: recouimondejl, some ofwhom are nof yet citizens of Galveston. Icannot appoint the live negroes, as they are,not , competent to discharge the duties ofpolicemen, as but one of them can barely•read and hone can write. I am disposed toappoint them for special duty among theirown class, to keep order. I have appoiutedthe, following : *‘ A. S. McLain, E. A. Wilson, Lewis D.Graves, John Foley, John C. Wagner, JamesLeithead, Dennis Halev, John Marsterson,John McNulty.►General, you will perceive .that I am desirous to maintain the municipal law, and as long as you leave mo any option in the matter I shall not violate it. You will please designate other persons who are citizens, by twelve mouths residence, and are qualified voters.Very respectfully,J. E. Haviland, Mavorof Galveston.