Just following up with some information I found incase anyone else is ever looking for this mark. I believe it is N Y Q & C W and found this on glassbottlemarks.com:
N.Y.Q.& C.W.Ld…………New York Quinine & Chemical Works, Limited, Brooklyn, NY. A subsidiary of McKesson & Robbins, a drug manufacturing firm first organized in 1833. I do not know the exact year that NYQ&CW was formed, but bottles bearing these initials on the base are mouth-blown and appear to date from the 1890-1920 period. The glass factory(s) which produced the bottles are unknown.