Hi,
This post was done many years ago so I'm not sure if you are still active on here, but I am descended from the Sheraton family also.
I believe however you may have mixed up one Christopher for another in your post.
I have the first few generations of the family being as follows:
William SHERATON, b. c.1540, d. 1586, m. Alison CRAGGS, d. 1605
-William SHERATON, b. c.1565, d. 1614, m. Elizabeth BURDON, d. 1616
--Mary SHERATON, b. 1585, d. 1592
--William SHERATON, b. c.1587
--George SHERATON, b. and d. 1589
--Christopher SHERATON, b. c.1590, d. 1660, m. (Unknown spouse)
---Ninian SHERATON, b. 1617, d. 1683, m. Ellen _____ (had issue)
---Thomas SHERATON, b. 1618
--Mary SHERATON, b. 1592
--Katherine SHERATON, b. c.1594
-Robert SHERATON, b. c.1570, d. 1619, m. 1600, Margaret CRAW, d. 1626
--William SHERATON, b. 1604
--Margaret SHERATON, b. 1606, d. 1652, m. 1628, Thomas PEARSON (had issue)
--Robert SHERATON, b. 1609
--John SHERATON, b. 1612
--Christopher SHERATON, b. 1614, d. 1615
--Alice SHERATON, b. 1616
--Elizabeth SHERATON, b. 1617, m. 1640, ____ CHILTON
-Christopher SHERATON, b. c.1573, d. 1616 (your Christopher?)
-Katherine SHERATON, b. c.1575, m. 1603, Gerard DONE (had issue)
-James SHERATON, b. c.1578
There are some trees suggesting the father of William Sheraton (b. c.1540) was Stephen DE SHERATON, but I have found no evidence supporting this.
Feel free to reply or drop me a message for more information.
Thanks
Jack