Lincolnshire Pedigrees, pts 1 to 4, ed. A. R. Maddison, Harleian Soc 50-52 (1902-4) and 54 (1906)
A-G: https://archive.org/stream/lincolnshirepedi01madd#page/n25/
H-O: https://archive.org/stream/lincolnshirepedi51madd#page/n7/
P-Z: https://archive.org/stream/lincolnshireped00larkgoog#page/n4/
Supplement: https://archive.org/details/lincolnshirepedi04madd/page/n7
The Harleian Society published pedigree books from old manuscripts. It had no fixed editorial policy or quality standard, and every manuscript had its own difficulties. They were rarely published verbatim. Most editors thought they needed a lot of work.
Editors were strictly unpaid, so they were gentlemen amateur scholars. And they sent their own manuscripts straight to the printers, so what you get is essentially self-published. Mistakes could get through that could have been avoided by peer review, but the gentlemen would have torn each other to shreds.
So the Harleian name on a book isn't an automatic quality stamp.
In this case, the pedigrees are mostly the work of A.S Larken, a 19th-century antiquary. His sister married Lord Monson, who had similar interests. They made extracts from thousands of wills, and visited most parishes in Lincolnshire, making notes from the registers.
Larken eventually got a job as a herald. Then he took the Visitation pedigrees, combined them, and corrected and detailed and extended them with the data from his notebooks.
Sources are indicated lightly. "MS C 23" is the 1634 Visitation, and "D 23" is 1666. It's usually obvious what must have come from a parish register. Wills are mentioned, with dates. They'll be at Lincoln. Where people are said to be living or dead on a certain date, this is usually inferred from a relative's will.
Larken doesn't seem to have made much use of deeds or lawsuits or manorial records. And he seems to have mostly avoided traditional family pedigrees, and the collections of old-school pedigree-mongers who guessed whatever they didn't know.
Maddison added some pedigrees of his own, especially in the supplement, mostly minor families, and based on Lincoln wills.
Maddison also published two books of Lincoln wills. List of Lincoln will books here
http://www.wellowgate.co.uk/wills.htm