Audrey - Since it's difficult, if not impossible, to isolate ourselves from family while we work unless we do so entirely while they are sleeping (~smile~), it's best if freelance writers develop a formal daytime writing/work schedule.
Notify family members and friends of the hours and days you will normally work and state you will not respond to phone calls, text messages or emails during this time, but will return messages after a certain hour each day. Naturally, you will need an alternate method by which they can contact you in the event of a real emergency (say, phoning a neighbor who can physically summon you to the front door by ringing the bell). Again (naturally), you may have to explain what a 'real' emergency is and what it is NOT. (Telling you about a sale at Macy's is NOT an emergency!)
It's important, especially when you first put this system into place, that you stick to your schedule. It may take some time for everyone to realize you work within a time frame even though you do it at home (or even while still in your pajamas) and stop bothering you while you're in creation mode.
Of course, there is likely to be at least one hold-out who won't be able to believe that 'Mom' or 'Aunt Audrey' simply will not answer his or her call due to her 'little writing hobby.' It's up to you to sell your writing as a real occupation--a business--to this person. Be cheerful, but firm.
As for personal and/or family 'issues', if you're referring to worry or stress caused by those, it isn't nearly as easy to isolate yourself from worrisome thoughts. I can only suggest practicing stress management techniques and giving yourself permission to concentrate on (and worry about) these issues after your work schedule for the day is finished. So many of the things we worry about are things over which we have no control anyway. Why let them control our lives and productivity?