Hi,
You might like to look at a dictionary of etymology. eg
despite
1297, from O.Fr. despit, from L. despectus "a looking down on," from despicere (see despise). The preposition (1593) is short for in despite of (1292), a loan-translation of Fr. en despit de "in contempt of." Almost became despight during 16c. spelling reform.
http://www.etymonline.com/index.php?search=despite&searchmode=none
spite (n.)
c.1300, shortened form of despit "malice" (see despite). Corresponding to M.Du. spijt, M.L.G. spyt, M.Swed. spit. Commonly spelled spight c.1575-1700. The verb is attested from c.1400. Phrase in spite of is recorded from c.1400.
http://www.etymonline.com/index.php?search=spite&searchmode=none
Despite all this information, please note this. If you say 'In despite of . . . ' today, most people willl simply think that you are speaking poor English that sounds odd and unidiomatic.
Best wishes, Clive