The word is written "freilich" in German and means "of course". It is more commonly used in South Germany than in the north.

"freylich" is the old spelling for what today is written "freilich". It comes from "frei" = "free". Not sure about any original meanings it might have had, but today's meaning of "freilich" can be translated as "of course", "naturally", "sure enough".

With regard to your name however I suspect it will probably have had a different meaning, maybe that one of your ancestors was a free man, not a "Leibeigener" (don't know the best English word for it, LEO has bondslave, serf, thrall).
A still existing aristocratic title in Germany is the "Freiherr"/"Freifrau", coming from the fact that these people had some freedom the commonality did not have.

IMHO, *frey* means *free* and your name has something to to with the classes in early middle age:
aristocraty ( = Adel )
free persons ( = Freie, Frilinge (sounds like your name) )
unfree persons ( = Unfreie, Liten )
Maybee your ancestors are member of the second class.

Even if freylich (or 'freilich' in the modern spelling) is a German word your name is not necessarily derived from that word. The ending -er as in our name is often indicating the origin from a place (cf. Kissinger - from Kissingen). There seems to be no place called Frey/ilich/en in present-day Germany, but maybe such a place exists in other German speaking countries or once existed in formerly German speaking areas (Eastern Europe). Just a guess.

Just another guess:

Freilich: Übername zu mhd. vrlich >frei, schrankenlos, unbehindert, unbefangen; freigebig<. Duden: Familiennamen

[Sobriquet(?), derived from the Middle High German word "vrlich" >free, without barrier, freely, naive(?) or generous<]

"Freylich" (Middle High German: vrilinc) means "freedman". First occurence of this name: Johann Freylich, 1432 A.D., Zittau

(From: Hans Bahlow, Deutsches Namenslexikon)

In addition to the above contributions:

The Etymological "Duden" (which lays some claim to authority in these matters)
says for "freilich" (modern spelling of freylich):
Middle High German "vriliche" meaning unimpeded, unconcerned, also acquired the additional meaning of "uncovered, obvious" in the 15th c. and then the reinforcing meaning of "certainly" as well as "however".

Let's assume this is related to Jiddish. Then its meaning would have another connotation, namely "happy" ("froehlich"). So, the translation of your name would be "the happy one".

Back in the Seventies I had a friend called "Froehlich" with surname, so Avital's suggestion is rather reasonable. We used to call him "Happy" in those days. Wonder what happened to him... Played mean basket ball, man, could he jump... he was a honky, mind...