The Telegraph brings these further particulars of Col. Seigle’s great battle, with the rebels, in Missouri.

The Springfield correspondent of the Democrat says immediately after the arrival of Brigadier General Sweeny at Springfield, he dispatched a messenger to Colonels Seigle and Salomon, who were encamped at Neosho, to move their columns to Carthage, which was promptly done last night. A messenger arrived from Col, Seigle, stating that Gov. Jackson, and Generals Price and Rains’ united forces, about 5,000 strong, were encamped eight miles from Carthage. Colonels Seigle and Salomon pushed forward rapidly, and attacked rebel force early yesterday and continued fighting during the day. Messengers are continually arriving bringing information that the rebels are retreating south eastwardly between Sarcoxic and Mount Vernon, falling back on Caseyville, with baggage and plunder, under cover of cannon, and Seigle attacking their rear.