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If the subject (the one who is going) is female, then it is הולכת הביתה\holechet habaita
If the subject is male, then the "ch" stands for the finix form of Chaf, the 11th letter in the Hebrew alphabet (ך). If female, then it should be replaced by the regular form (כ), followed by Tav (ת), the 22nd and last letter, which often serves as a femininity-indicating finix.
Leading translator of Science Fiction and Fantasy literature in Israel
Rechavia Berman Israel Local time: 04:22 Native speaker of: Hebrew, English PRO pts in pair: 4
Explanation: "going home" is not exactly the same as "going home to heaven".
For the translation of just "going home" see the previous answer - whoever gave it explained thoroughly what needs to be translated.
However, "going (home) to heaven" is best translated by the Hebrew idiom suggested above.
Literally it means to return one's soul to the Creator.
Of course, the same grammatical rule applies here as well - if the subject is feminine it should be "machzirah nishmata la-bore".