iPhone/iCloud problem

hello,

I have an iPhone 6 and at the weekend I was on my iCloud on my MacBook texting my wife. When I texted my wife she got my text yet it was displaying to her off a number that's not mine.

When my phone was unplugged from my MacBook it started coming off my contact again.

Has anyone had this problem? I don't think my iCloud is set up / sync right. Has anyone had this problem or a way to reset this not to happen?

 

Looked and saw this on another forum saying to delete all iCloud data and reinstall data to iCloud. Any trace of wrong number delete and then re send message