As nouns the difference between oaker and paker
is that oaker is while paker is (obsolete) a vagrant, stroller.
paker
English
Noun
(
en noun)
(obsolete) A vagrant, stroller
References
* 1949', John Dover Wilson (compiler), ' Life in Shakespeare's England. A Book of Elizabethan Prose , Cambridge at the University Press. 1st ed. 1911, 2nd ed. 1913, 8th reprint. In Glossary and Notes. Quoted in plural (pakers)