BRIG.-GEN. WINTHROP. His Funeral Service--Grand Military De- monstrations--Sketch of his Life. Brevet Brig.-Gen. FREDERICK WINTHROP, a gal- lant officer in the Army of the Potomac, was killed at the battle of Five Forks, near Petersburgh, Va., on the 1st instant, and buried with fitting ceremony in Trinity Church-yard, yesterday afternoon. In pur- suance of orders from headquarters the Seventy- first, Twelfth and Twenty-second regiments were detailed as escorts for the remains of the deceased and formed near Union-square at 3 o'clock. At the residence of Gen. WINTHROP's parents, in Fourteenth- street, a large assemblage of near friends met early in the afternoon and participated in the solemn ser- vices which were led by Rev. Dr. SEABURY, the Pastor of the church whereat the deceased was wont to at- tend. At the conclusion of these ceremonies the more public testimonies of esteem and respect were manifested, the coffin being placed in the hearse, and the grand procession formed in line. A more imposing cortege has rarely been seen on Broad- way, and the silent crowds which uncovered as it mournfully moved along, regarded with an affec- tionate interest the enflagged coffin, which contained all that was left of him who but a few days since was the light of a loving home, and the pride of a fight- ing host. THE PALL BEARERS were men of whom the country has reason to be proud, men who have fought under the true flag and received stout blows in its behalf. Their names are: Brig.-Gen. Warren, Brig.-Gen. Morris, Brig.-Gen. Sweeny, Brig.-Gen. Van Vliet, Lieut.-Col. Clitz, Lieut.-Col. O'Beirne, Lieut.-Col. King, Capt. Ellis. Accompanying these veteran soldiers of the Re- public were a large number of officers of the army and navy, and very many of our most respected cit- izens. The street was cleared of vehicles of every description, and the procession marched to the grand music of the regimental band down toward old Trinity. AT THE CHURCH the crowd was immense. Capt. HELM, with Sergt. GARLAND and fifteen men, had their hands full to keep the outer way clear; while the church itself was thronged to excess, with the exception of the pews in the middle aisle, which were reserved for the friends of the family. Officer WICKS, of the Twenty-seventh Precinct, was stationed in the church to keep the aisle free from intruding visitors, while Mr. PLACE, at the vestry door, was fairly overwhelmed by ladies, who insisted upon getting in. At a little after 5 o'clock the hearse reached the church of the rev. Dr. CUTLER, and his admirable choir had taken their stations. Rev. Dr. MORGAN DIX, Rev. Dr. VINTON, Rev. Dr. OGILBY, and Rev. Dr. SEABURY walked to the vestibule to receive the remains; while the solemn tones of the organ thrilled the house, and the entire congregation arose. Intoning the initiatory portion of the service, Rev. Dr. DIX preceded the coffin and the procession up the broad aisle. The body was enclosed in a hand- some rosewood coffin, lined with lead, and wrapped in the American flag, upon which were laid wreaths of flowers of purest white. After the lesson, which was sung antiphonally by the choir, Rev. Dr. VINTON read the service, which was followed by CUTLER'S service in G minor. The scene was an impressive ine. The full attendance of the clergy, the choristers in their robes of white, the silent coffin upon the tressels, the presence of a brilliant staff of officers, the bereaved mourners, and the vast sympathizing audience, formed a picture of dramatic intensity not often seen. IN THE CHURCHYARD, the DEPEYSTER'S family vault was opened, and drawn up on one side were Companies B and F of the Seven- ty-first Regiment, under charge of Capt. UNDERHILL, detailed as the firing party. At the close of the solemn services in the church the coffin, accompa- nied by the pall-bearers and preceded by the clergy- men and the choir, was taken to the vault. Here too a scene pregnant with beauty and sadness was dis- played. From a score of flagstaffs drooped at half-mast the national colors, in the street stood the escorting regiments, on the sidewalks thronged the multitude, all eyes intent upon the official group at the grave, and the narrow box in which lay the mortal part of young WINTHROP.After the ser- vice appropriate to the occasion had been read by Rev. Dr. Vinton, with responses by the choir, the coffin was lowered, and the order given to the troops to load at will. Three volleys were fired in honor of the dead, and to a quickstep his old companions marched away into the street again crowded with bustling men and noisy carts. It will be interesting to our readers to know that GEN. FREDERICK WINTHROP was a native of this city, born in 1839, and entered the ranks of the famous Seventy-first in April 1861. His conduct on the field at the battle of Bull Run was conspicuous for coolness and gallantry, and insured him a Captaincy in the Twelfth Regiment Regular Infantry. He at once proceeded to raise his company and organize the same at Fort Hamil- ton, New-York Harbor, and with the first battalion of his regiment, joined the Army of the Potomac on the 11th of April, 1862. From that time until the day of his death, he was on duty with that army, parti- cipating in all its famous battles. Conspicuous in every action for his intelligence, cool courage and determination, he won for himself not only the love and respect of his comrades, but the commendation and esteem of his Commanders. He rose steadily from one position to another, until he reached the grade of Brevet-Brigadier-General, which rank he held at the time he so nobly sacrificed his life on the field of battle to save a friend. From private in the ranks to General commanding a brigade, hisrecord has been stainless. Participa- ting in all the principal battles fought in the East, his conduct in each was worthy of the man who in the heat of battle could die as he did in an act of quiet heroism and noble self sacrifice. He was a splendid soldier, skillful, gallant, cool a,d accom- plished. But those who knew him simply as a soldier were ignorant of the things that most endeared him to a multitude of friends. How many who served with him in the army of the Potomac or who met him in his few brief intervals of recreation will mournfully remember his kind gentle manner, his generous love of pleasure, his frankhearted bearing and gentle courtesy in act and word, long after the victory with which his name is connected shall have become a tradition in the land.