Here are a couple of records I found prior to 1670 when Jasper Griffing is said to have arrived in Massachusetts. There are various spellings of his name in the records below, but they are all found in Essex County, MA where he is first found in the colonies.
I found these by searching the web for Essex County, Mass. records associated with Griffing/Griffin/Greffen/Griffyn surnames.
Records and Files of the Courts of Essex County, Massachusetts
page 279 - 1674 - signed by John Brimbleecom, John Pedrick, Samuell Morgin, Thaddeus Redden, William Beale, Samuell Nickloson, William Pitt, Cristopher Lattimore, Vincent Studson, Robert Hoopper, John Rodes, Ben. Parminter, Thomas Dixy, Henry Trivet, Robert Bartlet, Elias White,
John Pedrick, Thomas Sowden, Henry Russell,
Richard Haniver, Mathew Clarke, Samuell Red, Thomas Teiner,
Samuel Candy, Thomas Trefry, Mathew Salter, James Smith,
Roger Russell, Edward Holeman, Jeremia Gachell, John Hutson,
Abraham Allen, Jonathan Gachell, and Thomas Russell.
Court held at Ipswich, Mar. 30, 1669 - Judges: Mr. Symon Bradstreet, Mr. Sam. Symonds,
Major Genrll. Denison and Major Wm. Hathorne. Jury of Trials:.....
Thomas Morres, Aquilla Ramsdale, Samll. Rhoades and Joseph
Rhoades were allowed witness fees in Jacob Knight's presentment, Peter Jynkin, Jesper Griffin, Epheaim Hall and John Greaves' presentments mentioned.
page 314 -Sworn, 29:7:1668, before William Hathorne,
Assitant. Copy made by Edw. Rawson, secretary.
inventory of the estate of John Sanders, deceased,
brought in by John Newell of Lyn: Cow, 3 li.; goods left with me, lli. 12 s.; owing me, 3li; paid to John Hathorne, 7 s. 5d.; to Jesper Griffin, 6s; to John Ballard, 5s; to Nathaniel Ballard, 4s. 6d.;
page 86 - 1668 - Salem Quarterly Court -Jacob Knight, Ephraim Hall, Jasper Griffin and Peeter
Jenkins, for profaning the Lord's day by laboring about brick, were fined. to John Bread, 2s; owing to myselfe, 2s. 6d; for waying and loading of a load of hay, 1s; total 4li.3s.5d.
Hope this information is helpful to those searching for more records on Jasper Griffing.