In the Geographic Names Information System (GNIS), run by the USGS, there are a number of places with “Packard” in the name. One of those is Packardsville, Massachusetts, still listed on a Wikipedia page of “list of villages in Massachusetts” but not citing any sources. The GNIS entry on this place says it is “0.8 mi SE of Knights Corner and 3.2 mi SSE of Pelham; Town of Pelham.”  There is evidence certain Packards lived there. There was some talk about this on the message boards of Ancestry, with some mentioning the existence of the town of Packardsville, with one user, named Debbe, writing that “the documentation shows Samuel Packard born 1794, Packardsville, Mass. died 1826 at Enfield, Mass. was in the war of 1812.” Another user on a related forum writes that they are “looking for any information on Theodore L. Gold” whom they state “resided in Packardville, MA or Palmer, MA during late 1800’s.” Apart from this, other users note that: Freelove Packard, who married Cyrus Clark Miner of Leyden, Massachusetts, lived in Packardsville, that two people (George Myron Gamwell and Charlotte Adelia Hanks) married there. This raises the question of whether the defunct Packardsville Cemetery in Enfield, Massachusetts is connected? As such, there needs to be some further investigation.
In 1788, the southern district of Packardsville was annexed by Pelham. By the early 19th century, Packardsville had developed into a “craft village.”  By the 1830s, a man with the last name of Packard and Thurston were making carriages within the village, a business that continued into the 1840s, generating thousands of dollars, until the firm left and moved to Belchertown. By the 1860s, there was apparently a congregational Church in the village. By 1874, Packardsville was still within the town of Pelham with one church, while sitting nearby the Jabish River and adjacent to Belchertown. It was, at the time, manufacturing village. Eleven years later, there were two villages listed as “Packardsville” in Massachusetts, one in Pelham and another in Pittsfield. By 1906, Packardsville was still as village within Pelham. A later survey ten years later said that Cadwell Creek goes through Packardsville. And, in 1932, any further burials in the Packardsville Cemetery by the Packardsville Church in Enfield, MA was prohibited. In the years that followed, before WWII, the Quabin Reservoir was constructed which flooded part of Packardsville, including a Baptist Church which was founded in 1831 (with the church building constructed in 1835). Undoubtedly this led to displacement of some individuals within the village, itself.
But how did it get its name? Well, page 11 of Carlene Riccelli’s “Place-Names of Pelham, Massachusetts Above and Below* Water” has the answer to that, noting that there was even a Packardsville Road that led into the town:
Named for Joel Packard sho[wed up] in the year 1840 [and] built a wagon manufacturing shop with a Mr. Thruston at the south end of town. Since that time the hamlet was call ed Packardsville .
Otherwise, there really wasn’t much else I could find about Packardsville, even from the Pelham Historical Society as of yet. If you have any stories about this village, hamlet, or whatever you want to call it, I’d love to hear them.
 They cite a source for this information: U.S. Geological Survey. Geographic Names Phase I data compilation (1976-1981). 31-Dec-1981. Primarily from U.S. Geological Survey 1:24,000-scale topographic maps (or 1:25K, Puerto Rico 1:20K) and from U.S. Board on Geographic Names files. In some instances, from 1:62,500 scale or 1:250,000 scale maps. There was also a Packardsville, Missouri as well, apparently.
 Massachusetts Historical Commission, “MHC Reconnaissance Survey Town Report PELHAM,” October 1982, pp 1, 2, 5, 8, 9; Elias Nason, A Gazetteer of the State of Massachusetts (B. B. Russell, 1874), p 402; Massachusetts Bureau of Statistics of Labor, Census of Massachusetts: 1885, Volume 1, Part 1 (Wright & Potter Print. Company, state printers, 1887), p 24, 32, 35; Public Documents of Massachusetts: Being the Annual Reports of Various Public Officers and Institutions …, Volume 11 (State Printers, 1906), p 231; Charles Henry Pierce and Henry Jennings Dean, Surface Waters of Massachusetts, Issues 413-415 (U.S. Government Printing Office, 1916), p 318. There was also a mention of a merchant, Jacob Gould, in Packardsville, likely in the 19th century.