LATIN CAPITAL LETTER H WITH LINE BELOW does not appear to exist in Unicode 3.2, but the lowercase version is there (U+1E96).
I have a map of Israel which has the transliterated names Hadera and Hefa typeset with a line below their first letter, CAPITAL H. On the same map, I have yet to find a place name that uses the LOWERCASE h with line below. Can anyone clear up this mystery? Kevin Brown