Spaulding's paternal grandfather was Levi Spaulding (1737–1825), a member of the 3rd New Hampshire Regiment that saw action during the Revolutionary War at the Battle of Bunker Hill, the Battles of Saratoga, and the Battle of Newtown. In addition, the 3rd participated in or was present at the Siege of Boston, the Invasion of Canada, Valley Forge, and Sullivan's Expedition. His maternal grandfather was the Rev. Sewall Goodridge (1747–1809), the son of Capt. Benjamin Goodridge, Sr. (1701–1773), an attorney in Lunenburg, Massachusetts who was appointed commissioner of the peace in the 1769 under Sir Francis Bernard, 1st Baronet (1712–1779), the Governor of the Province of Massachusetts Bay from 1760 to 1769.