Advice needed everyone

My WAW has said several times that she is willing to sign her share of the house over to me for nothing .
Her reasons are she doesn't want me or the kids to loose the house .

So what do I do .

I feel if I get her to sign it over then it will be like the last nail in the coffin and she will never want to come home .

Also aware that W doesn't talk much sense currently due to the fog etc .

Any advice much appreciated


Me 40
W 37
Together 22 years
S18
D12
WaW 12/08/14 after affair exposed , suspected for several months
W returned home for 2 weeks to see if can handle family life
After the 2 weeks she has left .