I am not related to this family, but have a book which I can use to maybe answer some questions on the Carrington family.
THE DESCENDANTS OF THOMAS CARRINGTON
THE CARRINGTON FAMILY CAN BE TRACED FROM ONE MICHAEL CARRINGTON WHO WAS SWORD BEARER TO RICHARD THE LIONHEARTED IN THE THIRTEENTH CENTURY. HE DIED IN BATTLE BUT LEFT A SON WHO BECAME THE ANCESTOR OF HUNDREDS OF CARRINGTONS IN ENGLAND AND IN IRELAND. DURING THE 4 CENTURIES FROM THE SWORD BEARER TO THE CARRINGTON IMMIGRANTS WHO CAME TO AMERICA IN THE 1600'S, MANY CARRINGTONS WENT TO ENGLAND FROM IRELAND.
THERE WERE 3 GROUPS OF CARRINGTON IMMIGRANTS WHO CAME TO AMERICA IN THE 17TH CENTURY. ONE GROUP SETTLED IN VIRGINIA, ANOTHER IN MARYLAND, AND THE THIRD IN CONNECTICUT. THE MARYLAND GROUP IS DESCENDED FROM SAMUEL CARRINGTON, A COMMONER AND INDENTURED SERVANT. THE VIRGINIA CAVALIER COLONEL GEORGE CARRINGTON, A FRIEND OF GEORGE WASHINGTON, IS THE ANCESTOR OF THE VIRGINIA CARRINGTONS. THE CONNECTICUT CARRINGTONS ARE DESCENDED FROM DR. PETER CARRINGTON WHO WAS LIVING IN NEW HAVEN, CONNECTICUT IN 1692 AND WAS AN ARISTOCRAT. THE MARYLAND CARRINGTONS ARE THE ONES FROM WHOM WE IN INDIANA ARE DESCENDED.

I noticed that Grassy Lick Creek is mentioned in some queries...
CARRINGTONS IN INDIANA CAN EASILY TRACE THEIR GENEALOGY BACK TO SAMUEL CARRINGTON, A REVOLUTIONARY WAR SOLDIER. HE LIVED IN CHARLES COUNTY, MARYLAND AND LATER SETTLED NEAR GRASSY LICK CREEK IN MONTGOMERY CO., KENTUCKY IN 1804. RECORDS SHOW THAT SAMUEL WAS BORN IN 1754 IN CHARLES COUNTY, MARYLAND AND WAS THE SON OF JOHN AND SUSANNAH (CALLED HANNAH) CARRINGTON. HIS OLDEST SON, THOMAS, WAS BORN AND MARRIED IN PORT TOBACCO, MONTGOMERY CO., MARYLAND A TOWN ON THE POTOMAC RIVER. THOMAS CARRINGTON AND HIS WIFE CAME TO MONTGOMERY CO., KENTUCKY SOON AFTER HIS FATHER, SOME TIME BETWEEN 1805 AND1808.

These following paragraphs are just items of interest from this book.
IN 1642, THOMAS CARRINGTON TESTIFIED IN SUIT OF JOHN CARRINGTON AGAINST LAWRENCE STARKEY FOR FREEDOM FROM SERVICE. IN OPEN COURT IN 1642, JOHN CARRINGTON RECEIVED RELEASE ON OPEN TESTIMONY OF THOMAS CARPENTER REGARDING STATEMENTS MADE BY LAWRENCE STARKEY ABOUT THE FREEDOM OF JOHN CARRINGTON.
IN 1652 MICHAEL CARRINGTON AND SAMUEL CARRINGTON CAME TO VIRGINIA FROM IRELAND AS INDENTURED SERVANTS. MICHAEL WAS BOUND TO JAMES FORSTER AND SAMUEL TO COLONEL GEORGE LUDLOW. THEY SETTLED NEAR THE MOUTH OF THE YORK RIVER.

THERE WAS TRADITION IN THE KENTUCKY AND MISSOURI CARRINGTON FAMILIES THAT THEY ARE DESCENDANTS OF THE VIRGINIA CARRINGTON FAMILY. RANDOLPH CARRINGTON, THE FOUNDER OF THE MISSOURI FAMILY, IT WAS THOUGHT, RECEIVED HIS GIVEN NAME BECAUSE OF THE RELATION OF THE RANDOLPHS AND CARRINGTONS IN VIRGINIA.

THE FOLLOWING IS PROBABLY A CORRECT LISTING IN ORDER OF THE GENERATIONS OF CARRINGTONS IN THE FAMILY OF WHICH THIS BOOK IS WRITTEN:
1. SAMUEL CARRINGTON, THE IRISH IMMIGRANT TO AMERICA IN 1652
2. TIMOTHY CARRINGTON, A RESIDENT OF CHARLES CO., MARYLAND IN 1762
3. TIMOTHY OR JOHN CARRINGTON, WHO LIVED AT PORT TOBACCO, CHARLES CO., MARYLAND IN 1778
4. SAMUEL CARRINGTON, BORN IN 1754, MARRIED MILDRED MCDONALD ON JA. 8, 1782, BY AN EPISCOPAL RECTOR OF PORT TOBACCO PARISH LOCATED IN MONTGOMERY CO., MARYLAND AND WENT TO MT. STERLING, KENTUCKY IN 1804
5. RANDOLPH CARRINGTON BORN ON OCT. 20, 1784, IN MONTGOMERY CO., MARYLAND; SPENT HIS YOUNG MANHOOD AT MT. STERLING, KENTUCY; MARRIED CATHERINE MCCARY IN 1811; AND MOVED TO CALLAWAY CO., MISSOURI IN 1826

THE NAME OF CARRINGTON IS BELIEVED TO HAVE BEEN DERIVED FROM THE RESIDENCE OF ITS FIRST BEARERS, IN CARRINGTON, CHESTER CO., ENGLAND. IT IS FOUND IN ANCIENT ENGLISH AND EARLY AMERICAN RECORDS IN THE VARIANT SPELLINGS OF CARRYNTON, CARRINTON, CARINTON, CARYNTON, CARINGRON, CARRINGTON, AND OTHERS OF WHICH THE FORM LAST MENTIONED IS THAT WHICH IS MOST GENERALLY USED IN AMERICA TODAY.
FAMILIES OF THIS NAME WERE RESIDENTS AT EARLY DATES IN THE ENGLISH COUNTIES OF CHESTER, LINCOLN, YORK, HERFORD, ESSEX, BUCKINGHAM, LEICESTER, WAWICK, AND LONDON. THE WERE, FOR THE MOST PART, OF THE LANDED GENTRY AND NOBILITY OF THE BRITISH ISLES.
ACCORDING TO CERTAIN ACCOUNTS, THE FAMILY TRACES ITS DESCENT FROM SIR MICHAEL DE CARRINGTON, WHO WAS STANDARD BEARER TO KING RICHARD I OF ENGLAND ABOUT THE YEAR 1189 A.D. SIR MICHAEL CARRINGTON I WAS THE GRANDFATHER OF SIR WILIAM CARRINGTON I, WHO MARRIED ANNE, DAUGHER OF SIR EDWARD FAREWELL, AND WAS THE FATHER BY HER OF SIR WILLIAM II AND EDMUND CARRINGTON I. OF THESE THE YOUNGER SON (SOMETIMES CALLED "SIR EDWARD) MADE HIS HOME IN STERLINGSHIRE, SCOTLAND, AND WAS FATHER BY HIS WIFE CATHARINE HERRIETT CARRINGTON OF:
1. WILLIAM CARRINGTON III
2. MICHAEL CARRINGTON II
3. HUGH CARRINGTON
CATHARINE HERRIETT CARRINGTON WAS THE DAUGHER OF SIR THOMAS HERRIETT.
SIR WILLIAM CARRINGTON II, MARRIED KATHARINE MONTACHUTE OR MONTAGUE, DAUGHER OF WILLIAM MONTACHUTE OR MONTAGUE, EARL OF SALISBURY AND WAS FATHER BY HER OF:
1. SIR THOMAS CARRINGTON
2. MICHAEL CARRINGTON III
SIR THOMAS CARRINGTON MARRIED MARGERY ROOS OR ROSSE AND WAS FATHER OF HER OF:
1. JOHN CARRINGTON
2. EDMUND CARRINGTON II
MARGERY ROOS OR ROSSE WAS THE DAUGHTER OF SIR ROBERT ROOS OR ROSSE.
JOHN CARRINGTON I MADE HIS HOME IN ESSEX COUNTY AND CALLED HIMSELF "SMITH". HE MARRIED ROBERT LAYNHAM'S DAUGHER, MILLICENT LAYNHAM. JOHN CARRINGTON I DIED 1446 AND WAS THE ANCESTOR OF THE CARRINGTONS-SMITH FAMILY.
JOHN CARRINGTON IV MARRIED ELIZABETH SYMPSON, DAUGHTER OF HENRY SYMPSON, IN THE EARLY SEVENTEEN CENTURY AND HAD ISSUE OF HER OF:
1. JAMES CARRINGTON
2. RALPH CARRINGTON
3. FRANCES CARRINGTON
4. ELIZABETH CARRINGTON II
JAMES CARRINGTON MARRIED JUDITY GARFORTH, DAUGHTER OF JOHN GARFORTH. JAMES AND JUDITY GARFORTH CARRINGTON HAD ISSUE OF:
1. SAMUEL CARRINGTON
2. HENRY CARRINGTON
(AND PROB OTHERS)

THE AUTHOR CONTINUES TRACING CARRINGTONS TO CONNECTICUT, VIRGINIA, AND NORTH CAROLINA.

THIS BOOK HAS PICTURES OF CARRINGTONS, A GENEALOGY CHART, STORIES, AND MUCH MORE. I WOULD BE HAPPY TO CHECK THIS BOOK 'S INFORMATION FOR ANYONE.