The spelling of the word "Hogg gum" can be explained using the International Phonetic Alphabet (IPA). The initial sound is /h/ as in "hat", followed by the vowel sound /ɑ/ as in "father". The next consonant sound is /g/ as in "go", followed by a short /ʌ/ sound as in "up", and finally the sound /m/ as in "man". Therefore, the IPA transcription of "Hogg gum" would be /hɑgʌm/.
Doctor g.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.