Shiva Purana

siva.sh/siva-purana/uma-samhita/47/14

शरीरकोशाद्यत्तस्या निर्गता तेन कौशिकी।। नाम्ना सा गीयते साक्षाच्छुंभासुरनिबर्हिणी।। १४।।

sanskrit

Since she emerged out of the inner vestures of her body she is called Kauśikī. The destroyer of the Asura Śumbha is being sung in that name.

english translation

zarIrakozAdyattasyA nirgatA tena kauzikI|| nAmnA sA gIyate sAkSAcchuMbhAsuranibarhiNI|| 14||

hk transliteration by Sanscript