Question: Johnson's Regiment of Militia was called up a second time during this campaign by the British high command for North America that ended with the surrender of which army?

Context paragraphs:
Saratoga campaign: The Saratoga Campaign in 1777 was an attempt by the British high command for North America to gain military control of the strategically important Hudson River valley during the American Revolutionary War.  It ended in the surrender of the British army, which historian Edmund Morgan argues, "was a great turning point of the war, because it won for Americans the foreign assistance which was the last element needed for victory."

Sparhawk's Regiment of Militia: Sparhawk's Regiment of Militia, also known as the 7th Worcester County Militia Regiment.  The Regiment took its name from its commander, Col. Nathan Sparhawk.  The regiment spent the winter of 1776-1777 with Gen. George Washington's main army at Morristown, New Jersey.  The regiment was again called up at Barre, Massachusetts on August 16, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join John Stark at Bennington, Vermont and then to General Horatio Gates at Saratoga, New York as he faced British General John Burgoyne in northern New York.  The regiment served in General Warner's brigade.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on October 18, 1777.

Bellow's Regiment of Militia: Bellow's Regiment of Militia also known as the 16th New Hampshire Militia Regiment was called up at Walpole, New Hampshire, on September 21, 1777, as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of Gen. Horatio Gates as he faced British Gen. John Burgoyne in northern New York.  The regiment served in Gen. William Whipple's brigade of New Hampshire militia.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on October 27, 1777.

Simonds' Regiment of Militia: Simonds' Regiment of Militia also known as the 2nd Berkshire County Regiment was raised in Berkshire County, Massachusetts during the American Revolutionary War.  The Regiment was at Fort Ticonderoga during the winter of 1776-1777.  Simonds' Regiment was called up in the summer of 1777 during the Saratoga Campaign fighting at the Battle of Bennington with General John Stark's Brigade of New Hampshire Militia.  Many volunteers also joined the regiment at this time including William Easton, and the "Fighting Parson," Thomas Allen.  Simonds' Regiment attacked Friedrich Baum's redoubt from the south during the battle as Stickney's, Hale's and Hobart's attacked form the east and Nichols' attacked from the west.  The regiment would continue on to the Battle of Bemis Heights and the surrender of British General John Burgoyne's army.  The regiment would also be called up in response to Carleton's Raid and the Royalton Raid of 1780.

Evans' Regiment of Militia: Evans' Regiment of Militia also known as the 4th New Hampshire Militia Regiment was called up at Exeter, New Hampshire on September 8, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of General Horatio Gates as he faced British General John Burgoyne in northern New York.  The regiment served in General Ebenezer Learned's brigade of the Continental Army.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on December 15, 1777.  The Regiment was called up again as part of Gen. John Sullivan's army at the unsuccessful Battle of Rhode Island in 1778.

Reed's Regiment of Militia: Reed's Regiment of Militia also known as the 6th Middlesex County Militia Regiment was called up at Littleton and Westford, Massachusetts on September 27, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of General Horatio Gates as he faced British General John Burgoyne in northern New York.  The regiment served in General Briskett's brigade of Massachusetts militia.  With the surrender of Burgoyne's Army on October 17, the regiment was disbanded on November 9, 1777.

Johnson's Regiment of Militia: Johnson's Regiment of Militia also known as the 4th Essex County Militia Regiment was first called up for the Siege of Boston and Bunker Hill in 1775.  The regiment was called up a second time at Andover, Massachusetts on August 14, 1777 as reinforcements for the Continental Army during the Saratoga campaign.  The regiment marched quickly to join the gathering forces of General Horatio Gates as he faced British General John Burgoyne in northern New York.  The regiment served in General Warners' brigade and would capture six British cannon at the Battle of Bemis Heights.  With the surrender of Burgoyne's Army on October 17, the regiment was disbanded on November 30, 1777.

Welch's Regiment of Militia: Welch's Regiment of Militia also known as the 10th New Hampshire Militia Regiment was called up at Candia, New Hampshire on September 27, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of Gen. Horatio Gates as he faced British Gen. John Burgoyne in northern New York.  The regiment served in Gen. William Whipple's brigade of New Hampshire militia.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on November 8, 1777.

Chase's Regiment of Militia: Chase's Regiment of Militia also known as the 13th New Hampshire Regiment of Militia was called up at Cornish, New Hampshire on September 22, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of Gen. Horatio Gates as he faced British Gen. John Burgoyne in northern New York.  The regiment served in Gen. William Whipple's brigade of New Hampshire militia.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on October 24, 1777.  They would be called up again to protect the frontier of the state during the Royalton Raid of 1780.

Storer's Regiment of Militia: Storer's Regiment of Militia also known as the 3rd York County Militia Regiment was called up at York County, Maine then part of Massachusetts on August 14, 1777 as reinforcements for the Continental Army during the Saratoga Campaign.  The regiment marched quickly to join the gathering forces of General Horatio Gates as he faced British General John Burgoyne in northern New York.  The regiment served in General Briskett's brigade of Massachusetts militia.  With the surrender of Burgoyne's Army on October 17 the regiment was disbanded on November 30, 1777 at Queman's Heights.

Supporting paragraphs: Johnson's Regiment of Militia Saratoga campaign
Answer: British army