Steve,
******
CICIEMECILIA
I reckon this might be a concatenation of "Cicieme" & "Celia".
Probably, in fact, given originally as two distinct names - maybe hyphenated.
[Perhaps they were crammed together on the memorial in order to fit within the small space available, constrained by the limitations of the font-scaling capability of the primitive engraving technology of the day?]
The first name appears to be of African origin.
[Sometimes written nowadays as "Kikime".]
The second name is likely to be one of the 61 variants of "Cecelia".
http://www.thinkbabynames.com/meaning/0/CeciliaThis is the name of the Saint, commemorated on 22-NOV, patron of Church Music & of the Blind, who was martyred around the year 117 A.D. Apparently in Rome, but maybe on Sicily.
[I saw a fresco of her sad story in a church in Bologna (?) last year.]
However, perhaps more relevantly for you, a later Saint Cecelia, commemorated on 11-FEB, was martyred in Carthage in North Africa in 304 A.D., during the Diocletian persecutions.
http://en.wikipedia.org/wiki/Saint_Ceciliahttp://www.newadvent.org/cathen/03471b.htm******
ASENATH
This is the name of an Egyptian woman.
According to the Old Testament, she was given by the Pharoah to Joseph, to be his wife. She converted to her husband's (Jewish) faith.
Their sons were the progenitors of two of the tribes of Israel.
[Perhaps the lost African ones ...]
One possible source of the name is indeed Aramaic.
http://en.wikipedia.org/wiki/Asenathhttp://www.christiananswers.net/dictionary/asenath.htmlhttp://www.thinkbabynames.com/meaning/0/AsenathAsenath's mother had a dream that her family would be joined to Joseph's one, though she interpreted it a tad too directly ...
http://www.kingsolomon.com/literary/bibtales/joseph.htm .
[N.B. Ahem, a modern "romanticised & enhanced" version of events!]
A version, more suitable for children, is available on DVD as an animated film "Joseph: King of Dreams", with Ben AFFLECK and Jodi BENSON.
http://www.decentfilms.com/sections/reviews/1879******
CESIUM
Indeed, this could derive from the Latin "Caesius", meaning "Sky Blue" or "Heavenly Blue".
[Best experienced alone atop the Dolomites at Dobbiaco in November. Such helps deep understanding of why last night's "farewell" performance from Darcy BUSSELL, to her "old friends", was so poignant and will be "for ever" timeless ... ]
The "Caesium" name was given to a new radioactive element discovered in 1860.
[It, or more likely its salts, were bright blue.]
Spelt also as "Cesium" in English and French.
Perhaps you should look at "Kesium" or "Keseum" as well ...
******
Could "Cicelie Asenath JOHNS (1857-1948)" be your relative?
http://www.frontiernet.net/~brewirish/3024.htm******
So, implications to consider?
Some of your ancestors might have ...
... originated in Africa;
... taken their Christian religion seriously;
... been musical;
... had bright blue eyes (!);
... lived in France or a French colony.
... been very good time keepers!

Jock