Some words have the letter H as the second letter are:
ChichShashShethShiahShushThighThothWhich
Chic Ohio
Some four letter words that end in H are:bathwashwishbashhashhushmushpithmythhathpushpath
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern H-A--H--R. That is, nine letter words with 1st letter H and 3rd letter A and 6th letter H and 9th letter R. In alphabetical order, they are: headchair healthier
I don't know the total number, but some examples are below:shetheacheechobushypushymushypithybatheflashyscathewritheblithesootheraunchyhealthywealthytrashyphotographycalligraphymammographytomographytelepathyempathyapathyantipathysympathybiographybreatheseethescythecrunchycatchyblotchypatchyscratchyfilthyfishystarchymonarchypatriarchymatriarchyworthy
panther
ChichShashShethShiahShushThighThothWhich
sMasH
khaki
Chic Ohio
Five letter words starting with H and ending in H are:hatchhaughfeathheighheuchheughhitchhoochhunchhutchhumphhorahhotchharsh, heath.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H--H-E-H. That is, eight letter words with 1st letter H and 4th letter H and 6th letter E and 8th letter H. In alphabetical order, they are: hasheesh
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern HA-H--H. That is, seven letter words with 1st letter H and 2nd letter A and 4th letter H and 7th letter H. In alphabetical order, they are: hashish
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern HI-H---H. That is, eight letter words with 1st letter H and 2nd letter I and 4th letter H and 8th letter H. In alphabetical order, they are: highbush
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H---HHI--. That is, nine letter words with 1st letter H and 5th letter H and 6th letter H and 7th letter I. In alphabetical order, they are: hitchhike
church
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H--I----H. That is, nine letter words with 1st letter H and 4th letter I and 9th letter H. In alphabetical order, they are: hemistich