generic for "miser," by 1905, from curmudgeonly employer in Dickens' 1843 story "A Christmas Carol." It does not appear to be a genuine English surname; in old dictionaries it is an 18c. variant of scrouge "to squeeze, press, crowd (someone)," also scrudge, etc., an 18c. provincial word that is the source of scrounge.
surname, early 13c., probably an agent noun from walk (v.) in the sense "to full cloth." preserves the cloth-fulling sense (walker with this meaning is attested from c. 1300). "Walker" or "Hookey Walker" was a common slang retort of incredulity in early and mid-19c. London, for which "Various problematic explanations have been offered" [Century Dictionary].
"Is it?" said Scrooge. "Go and buy it."
"Walk-ER!" exclaimed the boy.
"No, no," said Scrooge. "I am in earnest" (etc.)
[Dickens, "A Christmas Carol"]
"to acquire by irregular means," 1915, an alteration of dialectal scrunge "to search stealthily, rummage, pilfer" (1909), which is of uncertain origin. OED reports it probably altered from dialectal scringe "to pry about." Or perhaps it is related to (or a variant of) scrouge, scrooge "push, jostle" (1755, also Cockney slang for "a crowd"), which are probably suggestive of screw, squeeze, etc. Scrounge was popularized in the military during World War I, frequently as a euphemism for "steal." Related: Scrounged; scrounger; scrounging.