Umphry MUCK appears in the 1870 Census for ILLINOIS Schuyler Co. - Rushville Twp. as head of household , age 47, coal miner born KY, with Selvina MUCK age 37, Housekeeper born IN.
on the same page, different house, is Elizabeth MUCK age 71, housekeeper born KY(I bet she is Umphry's mother), living with a Soloman MUCK age 37 coal miner b. KY and Francis M. MUCK age 27.
In the 1860 Census same county, Buena Vista Twp. is Joseph MUCK, head ofhousehold , age 59 b. VA Elizabeth MUCK age 56 b. VA, Solomon MUCK age 27 b.KY James MUCKage 25 b.KY (all living together)
On page 6,1860, still Schuyler Co., but Frederick Twp., is Umphrey MUCK age 31 , b. KY, with Silvania 28 b.IN, and Soloman age 4 b. IOWA, and Louisa age 2 b. Iowa.
I believe your best possibility for the parents of Umphrey are the above Joseph and Elizabeth MUCK from Virginia. It is very possible that the name was spelled MOCK or MAUK in Virginia.I searched my records and found several Joseph MOCKS married to an Elisabeth in VIrginia, but the dates were wrong.Good luck, I hope this helps.