Accesibility with custom components in TableListBoxModel

I can’t figure out how to set the correct accessibility text for custom components in TableListBoxModel.
For example, I have a custom component which is an editable Label. If I use VoiceOver to check it, the only thing I get is “edit text” instead of the content of the label/editor. The only way to actually hear the content is to edit the label.
Is there a way to set the accessibility text (like setTitle on a component) for custom components in TableListBoxModel?