Don't think I saw it mentioned, so her name is 犬田, which is 'dog' and 'field'. This is obviously her family name, not a name you would give a girl either. The 田 is the same as the 'da' in Yamada.
Inukai just means 'dog owner' and again is family name. Don't have the actual kanji because without a twitter account can only see first page of the raws.