I see your rationale and that in genealogy there are types of errors for which the common term fabrication might appear to fit, however in strict legal terms a fabrication is a subset of fraud, not the other way around. Thank goodness this is not Court. :) We don't wanna go there...
From Black's Law Dictionary 4th Edition:
An intentional perversion of truth for the purpose of inducing another in reliance upon it to part with some valuable thing belonging to him or to surrender a legal right; a false representation of a matter of fact, whether by words or by conduct, by false or misleading allegations, or by concealment of that which should have been disclosed, which deceives and is intended to deceive another so that he shall act upon it to his legal injury. Brainerd Dispatch Newspaper Co. v. Crow Wing County, 196 Minn. 194, 264 N.W. 779, 780. Any kind of artifice employed by one person to deceive another. Goldstein v . .E quitable Life Assur. Soc. of U. S·., 160 Misc. 364, 289 N.Y.S. 1064, 1067. A generic term, embracing all multifarious means which human ingenuity can devise, and which are resorted to by one individual to get ""advantage over another by false suggestions or by suppression of truth, and includes all surprise, trick, cunning, dissembling, and any unfair way by which another is cheated. Johnson v. McDonald, 170 Ok!. 117, 39 P.2d 150. "Bad faith" and "fraud" are synonymous, and also synonyms of dishonesty, infidelity, faithlessness, perfidy, unfairness, etc. Joiner v. Joiner, Tex.Civ.App., 87 S.W. 2d 903, 914, 915.