Update to my initial query, after many hours of reviewing more documents:
Connections hinge on, either: that John Washington md Mary (Flood who may be a Warren), was a son of Richard md to Frances Browne, and that Richard was a younger son of Lawrence and Margaret Washington. Thereby, the lineage back is clear.
Or: The oft cited paragraph in sources that ``Richard W. was a freeman of the Clothworkers`Company of London...and a son of Lawrence Washington of Wickammond Co., Northanmptonshire, Gent. apprenticed to Richard Brent`...points to a different Lawrence and does not link to Lawrence and Margaret Butler.
The profiles here on WT are becoming almost as confusing as those on Family Search.
I look forward to comments.