If you hang out with designers, you may hear the word family used as a verb, usually with the adverb well.

The old icons now look dated and do not family well with the Web site.
We renamed the feature from Auto Shape to Instant Shape so that it families well with other features like Instant Color.
The authenticity certificate on the side of the box should family well with the design on the front of the box.

From context, it appears that to family well basically means to be harmonious or consistent with.