Is crossing over in oogenesis occurred just between maternal chromosomes or between both maternal and parental

Answer 1

So, since oogenesis is just the female version of meiosis, the same rules apply.

After the chromosomes have been copied, (both mom's and dad's,) the process of crossing over occurs to promote genetic variation in offspring.

Each chromosome will cross over with its equivalent. The maternal chromosome 2 will cross over with the paternal chromosome 2. Since each cell only has one chromosome from each parent, a maternal chromosome cannot cross over with another maternal chromosome since the genes on different chromosomes would not be equivalent.