I got an email from Anonymous requesting information linking Ronald Lewis Mathis, who died in Toms River, NJ in 2003, to the Mathis family in the New Gretna-Tuckerton area. 
I found the following information in Jean and Murray Harris' book, "The Mathis Family of Little Egg Harbor". They trace Ronald Lewis Mathis, the son of Byron Everett Mathis, back to the Great John Mathis, the first permanent settler in Bass River. The four digit numbers in the Harris text are family reference numbers to help readers navigate through the book. 
Pete S
2110. Byron Everett /Barney Mathis, son of Samuel  L. (2071) and Ada (McCambridge) Mathis, born  November 1913 in New Gretna, died January 3, 1956,  married (a) Mary T.---,  and married (b) March 9,  1937 Julia Harriet Margaret Linder, a widow and daughter of Frederick and Julia (Newman) Linder,  born in Tuckerton in 1916.  In 1937 Byron was a coast guardsman.  Children:
  i    Harold
  ii   Ronald
  iii  Keith 
2071. Samuel L. Mathis, son of Joseph K. (2033)  and Loudella (Adams) Mathis, born January 19, 1890, died July 19, 1936, married  Ada  McCambridge, born May 4, 1889, died July 16, 1980. Samuel was an oyster watchman.They are buried in   Miller Cemetery, New Gretna. Children:
i Wilbert Samuel, married H. Mildred Marshallii Byron /Barney E. (2110), married Julia M.---
2033. Joseph Kirkbride Mathis, son of Phineas  K.(2016) and Mary Ann (Cramer) Mathis, born  December 29, 1849, died February 15, 1928, married  December 24, 1876 in Atlantic County (a) Sarah  /Sallie Eliza Wilson, daughter of Asa and Sarah  Wilson born June 4, 1853, died March 19, 1891 and  (b) Loudella Adams, born 29 August 1873, died January 16, 1940, daughter of Hezekiah and Sarah  A.(Berry) Adams, who later married Samuel F. Cramer. Joseph was  an oyster planter. Sallie and Joseph are buried in  Miller Cemetery, New Gretna. The first six children are Sallie's
i Harry Clinton, married Emily H. (Johnson) Reedii Winfield S., born July 25, 1880, died July July 19, 1882, buried Miller Cemeteryiii Curtis Wilson, married Elizabeth ---iv Augusta/Gussie, born September 1883,worked in Absecon for John Cordery in 1900.v Elizabethvi Richard, lived in Lewes, Delawarevii Samuel L. (2071), married Ada McCambridgeviii Sarah, married --- Stricklandix Joseph K. Jr. married Elizabeth Thomas
2016. Phineas Kirkbride Mathis, son of Aaron  (2007) and Margery (Kirkbride) Mathis, born 1819,  died February 9, 1885, married Mary Ann Cramer,  daughter of Joseph B. and Mary Ann (Mathis) (2014)  Cramer, born 1826, died 1866. They are buried in  Miller Cemetery, New Gretna. Children:
   i    Caleb, born 1843, died 1847, buried Miller Cemetery 
 ii   Samuel, born 1845, died 1848, buried Miller Cemetery
 iii Joseph Kirkbride (2033), married Sarah Wilson
 iv   Sarah E., born 1851, died June 14, 1929 married Amasa E. Mathis 
 v    Mary E., born 1853, married Charles Goldecker son of Charles and Catherine Goldecker  and moved to the Oklahoma Territory
 vi   Georgianna, married Joseph LeMunyon
  vii  Enoch, born October 27, 1856
  viii Lavinia, married Jarvis Gerew.
  ix   John O., married Ida E. Allen
  x    Elizabeth, married --- Gifford
  xi   George, married Mary Griffey
  xii  Ophelia
2007. Aaron Mathis, son of Daniel (2002) and Phoebe (Smith) Mathis, born 1790, died June 28, 1851, married May 19, 1814 Margery Kirkbride, daughter of Phineas and Martha (Rogers) Kirkbride,  born 1790, died January 28, 1851. They are buried in Miller Cemetery, New Gretna. Children:
i Daniel M., married Rachel W.Giffordii Phineas Kirkbride (2016), married Mary Ann Crameriii Enoch, born October 3, 1826, died November 5 1895, unmarried, buried Miller Cemetery.iv Phoebe, married (a) Thomas Cartright and (b) John P.Leekv John O., married Elizabeth O.Searsvi George W., married Abigail Mathis (1008)vii Aaron Jr., married (a) Zelphy Anderson and (b) Esther A.Rakeviii Marjorie, married Lemuel R.Adamsix Martha Kirkbride, born December 15, 1815, died December 29, 1872, married Jauary 18, 1840 Samuel Oliphant Shinn, born January 27, 1804x Leahxi Esther married Joseph Church, no childrenxii Elizabeth married Jerry Church
2002. Daniel Mathis, son of Job (2001) and Phoebe  (Leek) Mathis, born July 21, 1761, died March 10,  1836, married 1786, Phoebe Smith, daughter of  Micajah and Sara (Owen) Smith of Port Republic,  born June 30, 1764, died September 1, 1836. They  are buried in the Methodist Cemetery, Tuckerton.    Children:
i Owen Mary, married Jonas Milleriii Sarah, married James Downsiv Aaron (2007), married Margery Kirkbridev Leahvi Micajah Smith, married Nancy (Gamage) Mathisvii Daniel Jr., married Elizabeth Whiteviii Phoebe S., married Captain William Frenchix Anna Maria, married Francis French
2001. Job Mathis, son of John and Alice (Andrews)  Mathis, born May 13, 1719, died 1771, married May  15, 1760 Phoebe Leek, daughter of John and Phoebe  (Deviney) Leek. He is buried at the Tuckerton Friends Meeting House with no stone. Children:
i Daniel (2002), married Phoebe Smithii Enoch, married Nancy Gamageiii Phoebe, married John Formaniv Mary
1000 John Mathis, or Mathews, is said to have emigrated from Wales to Oyster Bay, Long Island  around 1700. According to one family tradition his birthplace in Wales was Merthyr Tydfil. There are  early colonial deeds to show that he accumulated  property near the village of New Gretna. By 1714 he had moved to an island along the Bass River. In 1716 John married Alice (Andrews) Higbee,  the daughter of Mordecai and Mary Andrews, and the widow of John Higbee. Some sources list Edward  Andrews as her father, but reference to the will  of Mordecai Andrews shows that she was, in fact,  the daughter of Edward's elder brother Mordecai.  John Mathis died October 23, 1779 and is buried beside the Friends Meeting at Tuckerton.  John and Alice had seven children, as follows: 
i Micajah, married Mercy Shreveii Job (2001), married Phoebe Leekiii Sarah, married (a) Marmaduke Coate (b)John Leedsiv Daniel, married Sophia Gaunttv Jeremiah, married Hannah Andrewsvi Nehemiah, married Elizabeth Cramervii Eli, married Phoebe Devinney