OK. Many thanks for your answer. It appears to me that I am actually resident in 2013/2014 under the new rules, because I was in the UK for more than 46 days in the tax year.
However, based on the flowchart you sent me, I qualify without doubt for split year treatment - and I had zero earned income after my arrival back in the UK. I understand that this means that I will not have to pay any UK tax at all on my HK earnings. Please correct me if I am wrong.
I assume, therefore, that I should not check Box 1 on the Residence page, which declares that I was non-resident in 2013/2014, but that i should check the box that says I qualify for split year treatment.
The same applies, I assume, to my wife, who was with me in HK and came back with me, but who had no earnings in HK. It doesn't really matter in her case, because she only has UK income well under her personal allowance anyway - or would it be OK not to even include the Residence page on her return, please?
Many thanks. You're well on course for the smiliest of faces!
PS: Yes, I am a UK national; so is my wife.