TILLAMOOK etymology

[Alan H. Hartley]

I'm working on the OED entry for Tillamook, and I recalled a Dec.
message from Dave Robertson:

QUOTE
A member of our list has sent me the information that "Tillamook" and
"Nehelim" are Chinookan in origin, containing the same root and
respectively prefixes ~k- > t- and locative n-.  The former name also
contains the Chinookan 'animate plural' suffix -uk[s].
UNQUOTE

What I've got so far on the etymology is:

< Lower Chinook t?ilimuks 'those of Nehalem' < t- [?] + -?ilim/-qilim
'Nehalem' + -uks (animate plural); the initial k- of some variants is a
regular (historical?) variation of t-, and the final -s was construed in
Eng. as the plural ending. The locative n- prefixed to the stem to form
the toponym n?ilim 'Nehalem' is absent in the formation of the ethnonym.
(based on Hdbk. N. Amer. Indians VII. (1990) 566, and pers. commun. from
D. Robertson 12/98)

So...The noun stem is -?ilim/-qilim. Can someone tell me what the prefix
t- is, and whether the -uks is indeed an anim. pl. suffix? Is the inital
k- of some of the forms a regular diachronic or synchronic variant of t-
? I'd much appreciate any insights.

Thanks,
Alan