I will appreciate it very much if you could verify that there was such a king in Egypt by the name of Agleloma.
There was not. [Source:
Kings List] Note that
each Pharoah had several names, such as the "Horus name", "Two Ladies name", "Golden Horus name", "Throne name", etc. Every Pharoah had names in the Egyptian language, even the Hyskos, Nubian, and Greek ones (although, of course, they retained names in their own languages).
If you look through the Kings List, you'll begin to notice a pattern in the names, which is related to the language, which has already been covered here. I will provide an example from egyptology online, regarding the names of Tutankhamen ("Living image of Amun", but originally "Living image of Aten" [Tutankhaten], but that's a story for a history thread):
Horus name: Ka-nakht tut-mesut "Strong bull, fitting from created forms"
Nebti or Two Ladies: Nefer-hepu segereh-tawy sehetep-netjeru nebu "Dynamic of laws, who calms the Two Lands, who propitiates all the gods"
Golden Horus: Wetjes-khau sehetep-netjeru "Who displays the regalia, who propitiates all the gods"
Throne name or prenomen: Nesu-bity Nebkheperu-re "King of Upper and Lower Egypt, Lord of the manifestations of Re"
Birth name or nomen: Tut-ankh-aten "Living image of Aten".
Even given that the insertion of vowels into this is completely arbitrary (we don't have a record, beyond what is being inferred/reconstructed from Coptic, of what the vowels were), "Agleloma" is not an Egyptian name.
Plus, you mentioned that this princess was alive "two thousand years ago", which would have been in the Roman period of Egypt's history. During this time, there were no Egyptian kings, at least not officially, as Egypt was a consular province of Rome and the Roman Emperor played the role of Pharoah. Even if there were a "hidden" king, I highly suspect that he would have had Egyptian names.
I consider this subject rather near & dear to my heart, PC (as you can probably tell from my name & avatar), and I can honestly tell you with complete confidence,
as everyone else here is telling you, that SOMEONE, whether it be you or this medium or her other medium pal who is pretending to channel an Egyptian king, is making this stuff up straight off the top of his or her head. And not very well. With a tensy bit of research, it would be perfectly possible to come up with a name that would be just about rock-solid un-debunkable, so I am not impressed by the names you have provided. You are being taken, and I agree with Loss Leader: if Jesus did exist, or does exist, I strongly believe you are being drawn away from Him by this chicanery.
PC, have you read both the Challenge application and FAQ thoroughly?