>The "Christopher Tilghman and His Family" book mentions that Roger, his son, paid the cost of transportation > of 22 persons passage to America.
He may have done so. I don't know. George Cabel Greer's monumental "Early Virginia Immigrants, 1623-1666" (Genealogical Publishing Company) does list the individual who paid for the transportation of every bondservant listed in the headright grants for that period, but there is no index, entries being alphabetical by bondservant's surname. Since the book is 371 pages and since we don't really have evidence that Christine was Roger's biologic daughter, I'm not about to waste my valuable time right now in looking to find out how many Roger Tilghman and/or Christopher Tilghman may have arranged transport for.
What I have done is examined with a magnifying glass the actual Library of Virginia image of the 1652 Headright Grant to Robert West. Despite the script being typically ornate (ie, not always easy to read), there's no way I can transmogrify the grantee's name into Roger Tilghman! If I recall correctly, the grant listed about 8 or 9 persons (aside from Robert West's immediate family) but the only transportee's name I am sure about right now is Robert's, listed in Greer on p. 103 as "Robt Ebernathell".
> Did I dream that up and did they have any documentation for this theory?
To both parts of that question: I don't know, Jill. You may not have dreamed it up and they may have had only family lore as a source. Anything is possible.