The practice varies between banks.
If you can meet the credit criteria for a €100k mortgage, then they will probably do it.
If you can't, they will insist that your husband remains on the mortgage.
If they don't agree, you can do a side agreement with your husband, whereby he renounces his interest in the house and you take on full responsibility for the mortgage. That does not affect your relationship with ptsb.
A tracker is no longer as valuable as it once was. Say you are paying ECB +1%. You could be paying as little as 2.3% from Ulster Bank, so the cost to you each year is €1,300 and reducing.
It's still worth holding onto, but while your husband is amenable to transferring ownership to you, if you had to sacrifice the tracker, then do so.
In cash flow terms, it will cost you about an extra €40 a month.
Brendan