Line to Burlington, Vt.--A movement appears to be in progress in Vermont for establishing a line of telegraphic communication from Springfield or Albany to Burlington. Much confidence is expressed by some of the Vermont papers that the enterprise will be carried through.

It is stated that the Magnetic Telegraph will extended from Washington city to Richmond, and completed before the middle of December next.

Telegraph to Canada.--It affords us great satisfaction, says the Montreal Herald, to learn that there is a great probability of the "lightning lines"--the Electric Telegraph--being extended from the great cities of the United States to Montreal and Quebec. A gentleman is now in town, and has submitted proposals to the Board of Trade for making an immediate commencement with this most, important public work. This line is expected to be extended to Montreal from Saratoga, to which place a line is already in operation.

The line between New York and Buffalo having been recently completed, the following is reported to have been the first telegraphic conversation on the occasion.

General Chat by Lightning.--At one o'clock, P. M., precisely, the Telegraph Line connected through the whole distance from New York to Buffalo, 507 miles.

Upon turning the adjusting screw of the magnet by Prof. Morse, all things were found right, and Prof. Morse sent his compliments to all the operators on the line.

The first to answer was Albany.

"The compliments of the Albany Office to Prof. Morse and Mr. Wood."

"Utica Office wishes to be remembered to Prof. Morse and Mr. Wood."

"Auburn Office sends compliments to Prof. Morse and Mr. Wood."

"Buffalo sends compliments to Prof. Morse and Mr. Wood, and presents Lake Erie to Old Ocean."

"Rochester Office sends compliments to Prof. Morse and Mr. Wood, and presents Erie Canal to Croton Aqueduct."

"Auburn presents State Prison to the Tombs."

"Syracuse sends compliments to Prof. Morse, and asks how are the Yorkers."

"Troy says, Now give me a chance. Compliments to Prof. Morse and Mr. Wood; and now for business, if there is any."

"Utica asks, Need we keep dark any longer?"

"Troy answers, No. Announce it to the four winds that Buffalo and New York are no longer separated--they talk to each other by lightning."

This entire dialogue occupied somewhat less than five minutes!

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