This surname can be rendered as either Rawlings or Rollins. The Genealogical Dictionary of Maine and New Hampshire gives it as Rollins. However, all the primary documents of the first three generations generally give the name as Rawlings. So I go with Rawlings.
1. Thomas Rawlings was born about 1641 and died before October 1706 at Exeter, New Hampshire. He married about 1670, Rachel Cox, born about 1650 and died after 1706, daughter of Moses and Alice (---) Cox of Hampton, New Hampshire. Thomas and Rachel had ten children: Thomas, Moses, Joseph, Mary, Benjamin, Aaron, John, Alice, Rachel, and Samuel.
2. Thomas Rawlings (Jr.) born 14 July 1671 at Stratham, New Hampshire and died there about May 1753. He married at Stratham on 29 November 1696, Phebe Lawrence, born about 1676 and died before 1752, daughter of David and Mary (---) Lawrence. Thomas and Phebe had seven children: Dorcas, Tabitha, Katherine, Phebe, Mary, Rachel, and Caleb.
3. Mary Rawlings born about 1705 at Stratham, New Hampshire and died after 1773 at North Yarmouth, Maine. She married at Stratham on 12 October 1725, Abner Coffin, born 29 April 1702 at Newbury, Massachusetts and died about 1773 at North Yarmouth, Maine, son of Stephen and Sarah (Atkinson) Coffin. Abner was an innkeeper. Abner and Mary had eleven children: Abigail, Lydia, Mary, Rachel, Phebe, Dorcas, Abner, Sarah, Catherine, Stephen, and Thomas.
Genealogical Dictionary of ME and NH by Sybil Noyes, Charles Thornton Libby, and Walter Goodwin Davis (Portland, 1939, reprinted Baltimore, 1988).
Descendants of Abner Coffin & Mary Rawlings of Harrisfeeket by Edward S. Coffin (the author, Augusta, ME, 2006).