What is the Protestant view on a woman praying in the family when a man is present The Bible says at 1 Cor 11:3 (ASV)


  But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God.


Also Ephesian 5:23 adds


  because a husband is head of his wife just as the Christ is head of the congregation, he being a savior of this body.


However 1 Cor 11:5 says a woman should cover her head


  But every woman praying or prophesying with her head unveiled dishonoreth her head; for it is one and the same thing as if she were shaven.


An exempt from one article of JW had this to say 


  A Christian wife would not normally pray aloud in the presence of her believing husband except in unusual circumstances, such as if he has been rendered mute by an illness.


This would rule out a woman praying in whatever circumstances unless the man is infirmed.

So the question is: Is it acceptable in Protestant view for a woman (wife, sister, grown child) to pray in the household when a man present? 

I'd like an explanation with backings and not a backlash on any group. Thanks.
Having consulted people with very conservative upbringing I feel confident in saying that virtually no Christian groups prohibit a woman from praying when a man is present in a private or family setting. Even the most conservative protestant groups such as Brethren only prohibit women from praying aloud in public worship. If the JWs follow this rule they are one of very few exceptions.

Even very conservative groups do not see prayer as a matter of authority. Praying when others are present does not imply that the pray-er has authority over the others present, as seen by the many exhortations to all Christians to pray in all circumstances (I.e. not just leaders), and general encouragement for children to pray.