Lois Grainger

I am a new Family Tree searcher. Started in July. The surnames I am searching are Grainger, Harrelson, Lunsford, King starting from 1936 back. I have got as far as 1056 on the Lunsford line. Know they are Saxons and they brought the Grainger name with them when they were invited into England by the Brits in the 4th Century. Graingers I have up to John Grainger Sr. born between 1750 - 1760 died 1826 in Horry Co. SC. but no one seems to be able to find out who his father was...so we are stuck there. Suppose to be a Nicholas Grainger in the family that came here on the ship "George" in 1618..can find nothing there either...Could use all the help I can get from anyone and everyone who has any information or photos to share on these family names. Thanks in advance to all out there that can help me.