Inner

Vine's Expository Dictionary of NT Words

1: Ἔσω (Strong'S #2080 — Adverb — eso — es'-o )

an adverb connected with eis, "into," is translated "inner" in the AV of  Ephesians 3:16 (RV, "inward"); after verbs of motion, it denotes "into,"   Mark 15:16; after verbs of rest, "within." See Within.

2: Ἐσώτερος (Strong'S #2082 — Adjective — esoteros — es-o'-ter-os )

the comparative degree of No. 1, denotes "inner,"  Acts 16:24 (of a prison);   Hebrews 6:19 , with the article, and practically as a noun, "that which is within (the veil)," lit., "the inner (of the veil)." Cp. Eng., esoteric.

Chamber

Webster's Dictionary

(1): ( a.) Further in; interior; internal; not outward; as, an spirit or its phenomena.

(2): ( a.) Not obvious or easily discovered; obscure.

King James Dictionary

IN'NER, a. from in. Interior farther inward than something else, as an inner chamber the inner court of a temple or palace.

1. Interior internal not outward as the inner man.  Ephesians 3