the immigrant John Learwood
There are two entries in Calvaliers and Pioneers for a John Learwood. Because of the location and the association with the Moore family, I suspect the first is more likely the correct John Learwood.
C&P, Vol 2, Patent Book #6:
Richard Moore, 112 acres, R.18 P, Charles City Co, south side of Appomattok River, 7 Apr 1671, p.350. Adj. Maj John Epes, nigh Michael Hill, adj. Mr Whittington, the Spring Garden patt,. John Sturdeavnt, etc. Transportation of 2 persons: Tho. Belcher, John Learewood.
C&P, Vol 3, Patent Book #10:
Simon Knight, 171 acres, Upper parish of Nansemond Co, on head of the Honey Pot Swamp . . . adj. Col Baker & Mr Write; 16 July 1717 p.133. Importation of 4 persons: Simon Knight, Elizabeth Knight, John Learwood, Ann Persall.