Sharon,
I found this information on Ancestry for you. Hope it helps. None of this is verified, but its found on several trees on ancestry.
It appears George is your immigrant ancestor, arriving here in 1702
Name: George Tuck
Birth: 11 Oct 1678 - Beverly, Massachusetts, USA
Death: 8 May 1751 - Beverly, Massachusetts, USA
Parents: John Tuck, Rachel
Spouse: Mary Morrell
Marriage: 1701 - Beverly, Essex, Massachusetts, USA
George Tuck's Parents:
John Tuck
Born 1646
Died 1722
in Beverly, Essex, Massachusetts
Rachel, no information
Mary Morrell
b. 10 Sep 1689
d. Dec 1750
in Beverly, Essex, Massachusetts, USA
Mary Morrell's Parents:
Isaac Morrill
1646 – 1713
Phebe Gill
1649 – 1714
Children of George and Mary Tuck
Abigail Tuck
no dates
George Tuck
1701 – 1784
Lidia Tuck
1705 – 1782
Rachel Tuck
1709 –
Eunice Tuck
1711 – 1801
Emma Tuck
1714 –
Andrew Tuck
1716 –
Anna Tuck
1721 –
Mary Tuck
1784 – 1768