A. The order of birth for the children of Adam and Maude is uncertain. They boarded the ship in Holland with 2 children. Some sources have those as 2 boys, but Regina may have been one of them. I haven't seen evidence for all of Adam's children as found in the Mormon info, but there is a little bit that I've come across - it too is still really circumstantial.

B. From "A New Index Lancaster County, Pennsylvania Before the Federal Census", Vol.4, Index to the 1718-1726 Tax Records of Chester County Relating to Areas Later Part of Lancaster County, by Gary T. Hawbaker and Clyde L. Groff:
 
Litner, Adm. 1724 Connestogoe Rate
Litner, Adam 1725 Conistogoe Rate
Litner, Adam 1726 Conistogoe Rate
 
The accompanying 1730 map of Lancaster Co. shows Leacock Twp. in the Conestogo (sic) area, matching well with its present area. I only have three pages copied, but other entries indicate that "Palatines" were there before 1723. Entries from 1721 distinguish between "Palatines at Conestogoe" and "English Conestogoe Rate" while 1718 entries for the same men say "Conestogoe Rate, Dutch Inhabitants" and "Conestogoe Rate, English Inhabitants." Knittle, in "Early Palatine Emigration", sites evidence from letters that some of the 1709-10 Germans had migrated to the area before 1723. He says that the 1723 migrants came down the Susquehanna and then up the Swatara and into the Tulpehocken area. It's interesting to note that on the tax list pages that I have, no one is listed at the "Tulpehocken Rate" before 1725. It would make sense that earlier migrants would have settled further southeast nearer to the later Lancaster-Chester Co line. Also, Adam was apparently a blacksmith, and as a tradesman may not have needed direct subsistence during that 1710-1712 period.

C. The History of Lancaster County ... by Ellis and Evans, 1883 appears to be the source of some of the early history repeated by some researchers. In this Lancaster County history "Adam Lightner" is listed among "The settlers in Conestoga township, as shown by the assessment-rolls for 1724-25, ..."
 
There are two places in the book that give versions of LIGHTNER history:
 
1.   "The Lightner Family. - Adam Lightner and Maud, his wife,in the year 1709, fled from the religious persecutions along the Rhine, which drove thousands of Protestants to Holland, thence to England. They were Lutherans. Their son William was born in Germany. Nathaniel was born in 1709, while his parents were encamped near London. They came to America in the same year, and settled in Ulster County, N.Y., among the La Rues, Ferrees, and Le Fevres. They came to Pequea Valley in the year 1723, and settled upon land near the old Peter's road, upon the northern boundary of Leacock township, and about a mile northeast from the village of Intercourse.
  William Lightner, son of Adam, returned to Germany. He owned large sugar and spice plantations upon one of the islands in the Eastern Ocean, and he became possessed of a very large estate, to which a multitude of his descendants are now turning their eyes, anxiously waiting to divide and enjoy this accumulated wealth. His brother George also returned to Germany."
 
2.   In a bio for a Mr. Dale: "His second wife, Leah, whom he married April, 29, 1834, was a daughter of John Adam Lightner (1743-1798) and Leah Ferree (1757-1841), of Lampeter township, was born in Leacock township May 18, 1789, and survives in 1883. She is a woman of superior intelligence, furnished most of the facts for this sketch, ... Adam and Maud Lightner came from Holland with two of their sons, Nathaniel and Adam, in 1717, and settled in Leacock township, Lancaster Co., Pa. One son, William A. Lightner, remained in Holland, and subseqently resided in India. ..."
 
The history also recounts: "In the year 1723 a number of Germans, who came from Schoharie, N.Y., settled along Tulpehocken Creek, upon lands not yet purchased from the Indians. ..."
 
Well, it's clear to me that the stories are discrepant, but parts seem to fit with the lore in my line. They seem to be confusing William with George, but residence of the wealthy brother in India/Eastern Islands fits with the indigo business as "told" to me. The 1717 date that Leah gave is curious, though it does match better the settling of the Pequea Valley than the 1723 date - again the 1723 Germans were said to have settled way up in the Tulpehocken Valley. No son would have been old enough to stary in Holland. It's also interesting what the authors said about "George's" descendants going after his money - fits the bible story and the disappearance of the family record - though they would be several generations removed from him.

D. The published pastoral records of the Rev. J. Casper Stoever list a SIMON LEITNER, born 5 November 1738 and baptized 10 November 1738 by Rev. Stoever at Tulpehocken (Christ) - sponsors were Simon Schirman and his wife. Simon is listed last in the list of Leitner children even though he was born first.
 
In the original records, as reported by Steve Bast, it appears Stoever drew a dividing line between Simon and Catarina Leitner and continued it down to the next entry, which is Johannes Riegel's children. In Frederick Weiser's book on Tulpehocken Church Records 1730-1800, he states that Simon is a Riegel with the same birth and baptism dates as in Stoever.

E. Baptismal sponsorship and the age of majority: In the records of Trinity Lurtheran Church, New Holland, Lancaster County, Pennsylvania one finds in the listings of baptismal sponsors: "Elisabetha Rapp; on account of her minority her mother, Anna Catarina Rappin, represented her" and "Michael Rein & wf., in place of their son Joh. Georg, now a minor". The case is clear when such statements are explicitly made, but the contrary can never be assumed to hold for different pastors or times. The contrary can however suggest that a person has reached the age of majority.